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<!-- DFIN New ActiveDisclosure (SM) XBRL Linkbase Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date :2023-02-28T12:25:17.3438+00:00 -->
<!-- Copyright (c) 2023 Donnelly Financial Solutions, Inc. All Rights Reserved. -->
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestWeightedAverageRemainingContractualTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sharebased Compensation Arrangement By Sharebased Payment Award Equity Instruments Other Than Options Expected To Vest Weighted Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestWeightedAverageRemainingContractualTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected to vest at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementAggregatePaymentsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaborative arrangement aggregate payments receivable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementAggregatePaymentsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement Aggregate Payments Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementAggregatePaymentsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate research and development fees payments receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease right-of-use assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Right-of-use asset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermInvestmentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Investments [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CorporateRestructuringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Corporate Restructuring</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CorporateRestructuringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Corporate Restructuring [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CorporateRestructuringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Corporate Restructuring [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OptionExercisePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Option Exercise Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OptionExercisePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Option exercise payment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Long-Term Debt Instruments [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AchievementOfStockPriceAppreciationMilestone_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Achievement of stock price appreciation milestone</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AchievementOfStockPriceAppreciationMilestone_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Achievement of stock price appreciation milestone</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LesseeOperatingLeaseCashRentPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Lessee operating lease cash rent period.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LesseeOperatingLeaseCashRentPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Operating Lease Cash Rent Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LesseeOperatingLeaseCashRentPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncreaseDecreaseInRightOfUseAssetsAndLeaseLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in right-of-use assets and lease liabilities, net.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncreaseDecreaseInRightOfUseAssetsAndLeaseLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Right Of Use Assets And Lease Liabilities Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncreaseDecreaseInRightOfUseAssetsAndLeaseLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Right-of-use assets and lease liabilities, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsExpectedVolatilityRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value Assumptions Expected Volatility Rate 1.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsExpectedVolatilityRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Assumptions Expected Volatility Rate1</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsExpectedVolatilityRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Undiscounted Excess Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: imputed interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Loss Per Common Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and Cash Equivalents</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities, net of current portion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits that Would Impact Effective Tax Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized tax benefits that, if recognized, would reduce the effective tax rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PeriodForCumulativeChangeInOwnership_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Period for cumulative change in ownership.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PeriodForCumulativeChangeInOwnership_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Period For Cumulative Change In Ownership</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PeriodForCumulativeChangeInOwnership_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Period of change in ownership</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Employee Stock Purchase Plans</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock purchases under the plan (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Operating Segments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of operating segments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LondonInterbankOfferedRateLIBORMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">London Interbank Offered Rate (LIBOR) [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LondonInterbankOfferedRateLIBORMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">LIBOR</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Preferred Stock, Shares Outstanding, Ending Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Preferred Stock, Shares Outstanding, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, outstanding shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Capital Shares Reserved for Future Issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares reserved for issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorFirmId_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Firm ID</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance at the beginning of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CandidateTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Candidate two.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CandidateTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Candidate Two [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CandidateTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Candidate 2</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MinimumAnnualPaymentsToMaintainLicenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Minimum annual payments to maintain licenses.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MinimumAnnualPaymentsToMaintainLicenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum Annual Payments To Maintain Licenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MinimumAnnualPaymentsToMaintainLicenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum annual payments to maintain licenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Authority [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Tax Authority</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductOrServiceAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductOrServiceAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Product and Service</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OnoLetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ono Letter Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OnoLetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ono Letter Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OnoLetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ono Letter Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee Stock Purchase Plan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaboration services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationServices_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaboration services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationAndLicenseAgreementsDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">No definition available.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationAndLicenseAgreementsDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaboration And License Agreements Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShortTermLeasesTermExcludedFromCalculationOfRightOfUseOfAssetsAndLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Short-term leases term excluded from calculation of right of use of assets and lease liabilities.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShortTermLeasesTermExcludedFromCalculationOfRightOfUseOfAssetsAndLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short Term Leases Term Excluded From Calculation Of Right Of Use Of Assets And Lease Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShortTermLeasesTermExcludedFromCalculationOfRightOfUseOfAssetsAndLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term leases term excluded from calculation of ROU and lease liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeasesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Leases [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeasesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonesLiabilitiesNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock price appreciation milestones, non current portion.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonesLiabilitiesNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Price Appreciation Milestones Liabilities Non Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonesLiabilitiesNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock price appreciation milestones, net of current portion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Option [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee Stock Option</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Weighted Average Remaining Lease Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining weighted-average lease term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities and stockholders&#8217; equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwardsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwardsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating Loss Carryforwards [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plan Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringAndRelatedCostNumberOfPositionsEliminatedPeriodPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of number of employee reduced</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringAndRelatedCostNumberOfPositionsEliminatedPeriodPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring and Related Cost, Number of Positions Eliminated, Period Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Incorporation, State or Country Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, State or Country Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Other Adjustments, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested and expected to vest at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_TransactionPriceOfAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Transaction price of agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_TransactionPriceOfAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transaction Price Of Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_TransactionPriceOfAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction price of the agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncomeTaxReconciliationPermanentTaxDifferences_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to permanent differences.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncomeTaxReconciliationPermanentTaxDifferences_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Permanent Tax Differences</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncomeTaxReconciliationPermanentTaxDifferences_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Permanent differences</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardMonthlyAwardVestingPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the monthly vesting period of share-based compensation awards.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardMonthlyAwardVestingPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Monthly Award Vesting Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardMonthlyAwardVestingPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Monthly vesting period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueassetslevel1Tolevel2Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Assets, Level 1 to Level 2 Transfers, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueassetslevel1Tolevel2Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FairValueAssetsLevel1ToLevel2TransfersAmounts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueassetslevel1Tolevel2Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">FairValueAssetsLevel1ToLevel2TransfersAmounts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Revenue, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RepaymentPercentageOfAwardAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayment percentage of award amount.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RepaymentPercentageOfAwardAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment Percentage Of Award Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RepaymentPercentageOfAwardAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment percentage of award amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_NumberOfDisbursementsReceivableUponExecutionOfAward_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of disbursements receivable upon execution of award.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_NumberOfDisbursementsReceivableUponExecutionOfAward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Disbursements Receivable Upon Execution Of Award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_NumberOfDisbursementsReceivableUponExecutionOfAward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of disbursement receivable upon the execution of the award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Operating Loss Carryforwards, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net operating loss carryforwards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ExpectedRessarchServicesPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expected ressarch services period.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ExpectedRessarchServicesPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Expected Ressarch Services Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ExpectedRessarchServicesPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected ressarch services period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2025</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Three</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerAssetNetNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Contract with Customer, Asset, after Allowance for Credit Loss, Noncurrent, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerAssetNetNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Asset, after Allowance for Credit Loss, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerAssetNetNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaboration contract asset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerAssetNetNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Collaboration contract assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsRecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsRecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurements Recurring</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Interest Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Interest expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AmendedMSKLicenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amended MSK license member.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AmendedMSKLicenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amended M S K License [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AmendedMSKLicenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amended MSK License</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Lease, Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total short-term lease expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LiquidityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Liquidity.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LiquidityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liquidity Policy [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LiquidityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Going Concern Assessment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInContractWithCustomerLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Contract with Customer, Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInContractWithCustomerLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncurrentAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Noncurrent Assets [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncurrentAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-current Assets [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net of deferred tax assets and liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DeferredTaxLiabilitiesDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax liabilities depreciation.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DeferredTaxLiabilitiesDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities Depreciation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DeferredTaxLiabilitiesDepreciation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Depreciation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Weighted Average Discount Rate, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities, weighted-average discount rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfRevenueExtensibleList_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue, Product and Service [Extensible Enumeration]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfRevenueExtensibleList_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Type of Revenue [Extensible List]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Small Business</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Small Business</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Reportable Segments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of reportable segments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConversionOfPreferenceShareToCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Value of preferred share conversion to common stock.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConversionOfPreferenceShareToCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Of Preference Share To Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConversionOfPreferenceShareToCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of preferred shares to common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaborative Arrangement and Arrangement Other than Collaborative</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfDiscretionaryContributionsDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of discretionary contributions description</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfDiscretionaryContributionsDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of discretionary contributions description</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SublicenseConsiderationRepresentsAnAssetUnderAscOtherAssetsAndDeferredCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sublicense Consideration Represents an Asset Under ASC, Other Assets and Deferred Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SublicenseConsiderationRepresentsAnAssetUnderAscOtherAssetsAndDeferredCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sublicense Consideration Represents an Asset Under ASC, Other Assets and Deferred Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FinalPaymentFeeOnDebtFacilityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Final payment fee on debt facility amount.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FinalPaymentFeeOnDebtFacilityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Final Payment Fee On Debt Facility Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FinalPaymentFeeOnDebtFacilityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Final payment fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeCategorizationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeCategorizationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestoneExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock price appreciation milestone expense.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestoneExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Price Appreciation Milestone Expense</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherThanTemporaryImpairmentCreditLossesRecognizedInEarningsCreditLossesOnDebtSecuritiesHeld_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Other than Temporary Impairment, Credit Losses Recognized in Earnings, Credit Losses on Debt Securities Held, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherThanTemporaryImpairmentCreditLossesRecognizedInEarningsCreditLossesOnDebtSecuritiesHeld_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other than Temporary Impairment, Credit Losses Recognized in Earnings, Credit Losses on Debt Securities Held</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherThanTemporaryImpairmentCreditLossesRecognizedInEarningsCreditLossesOnDebtSecuritiesHeld_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Available-for-sale securities, recognition of expected credit losses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JanssenBiotechIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Janssen Biotech Inc.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Weighted Average Number of Shares Outstanding, Basic, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City Area Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockIssuedDuringPeriodSharesWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock issued during period, shares, warrants exercised.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockIssuedDuringPeriodSharesWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Warrants Exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockIssuedDuringPeriodSharesWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock upon cashless warrant exercise (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RegulatoryAndSalesMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Regulatory and sales milestone payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RegulatoryAndSalesMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Regulatory And Sales Milestone Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RegulatoryAndSalesMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Development, regulatory, and sales milestones</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneRecordedToDeferredRevenueWithRemainingUnrecognizedRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Milestone recorded to deferred revenue with remaining unrecognized revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneRecordedToDeferredRevenueWithRemainingUnrecognizedRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Milestone Recorded to Deferred Revenue With Remaining Unrecognized Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures in Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cancelled</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardAgreementExecutedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Award agreement executed date.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardAgreementExecutedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Agreement Executed Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardAgreementExecutedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award agreement executed date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SiliconValleyBankMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Silicon valley bank.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SiliconValleyBankMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Silicon Valley Bank [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SiliconValleyBankMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Silicon Valley Bank</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Period End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Stock Issuance Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Costs related to equity offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionInProgressMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction in Progress [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionInProgressMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction-in-Process</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_InvestmentMaturityDateRange_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Investment maturity date range.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_InvestmentMaturityDateRange_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Maturity Date Range</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_InvestmentMaturityDateRange_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maturity (in years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-Based Compensation Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average grant date fair value per share of employee options granted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRenewalTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Renewal Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRenewalTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Renewal term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortized Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Amortized Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Amortized Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SoftwareAndSoftwareDevelopmentCostsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Software</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue, net of current portion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statistical Measurement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, Less than 12 Months</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated Fair Value, Less Than 12 Months</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShortTermInvestmentMaturityPeriodRangeStart_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Short-term investment maturity period range start.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShortTermInvestmentMaturityPeriodRangeStart_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short Term Investment Maturity Period Range Start</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShortTermInvestmentMaturityPeriodRangeStart_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short term investments, maturity start range</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PublicEquityOfferingPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public equity offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PublicEquityOfferingPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Equity Offering Policy [Text Block]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_November2016PlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November 2016 placement.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RisksAndUncertaintiesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Risks and uncertainties.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JanssenAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Janssen agreement.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockMultiple1_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common Stock Multiple</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability, Current</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FirstJanssenCancerTargetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">first Janssen Cancer Target</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized Gains</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CapitalizedContractCostAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capitalized Contract Cost, Amortization</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeaseDescriptionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Lease, Description [Line Items]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock price appreciation milestones.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Number of Shares Outstanding, Diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Weighted Average Number of Shares Outstanding, Diluted, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureAndSignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation and Presentation of Financial Statements Disclosure and Significant Accounting Policies [Text Block]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_GladstoneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gladstone.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line One</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromIssuanceOfCommonStockInConnectionWithCollaborationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The cash inflow from the additional capital contribution to the entity in connection with a collaboration agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromIssuanceOfCommonStockInConnectionWithCollaborationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Issuance Of Common Stock In Connection With Collaboration Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromIssuanceOfCommonStockInConnectionWithCollaborationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from sale of common stock to collaboration partner, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentAnnualReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Annual Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentAnnualReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Annual Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets by Major Class [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Finite-Lived Intangible Assets by Major Class</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StraightLineRentAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Straight Line Rent Adjustments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StraightLineRentAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Straight-line lease expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities, Current [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current accrued expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Cash Flow Information [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosure of cash flow information</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_WarrantsExerciseTermsDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants exercise terms description.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Policy [Policy Text Block]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Components of Deferred Tax Assets [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax assets:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments in Debt and Marketable Equity Securities (and Certain Trading Assets) Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeeAndNonEmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee and Non Employee Stock Option</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeeAndNonEmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents an arrangement whereby both an employee and a non-employee is entitled to receive in the future, subject to vesting and other restrictions, certain number of shares in the entity at a specified price, as defined in the agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeeAndNonEmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee And Non Employee Stock Option [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceDecreasedByTenPercentPerShareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock price decreased by ten percent per share.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceDecreasedByTenPercentPerShareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Price Decreased By Ten Percent Per Share [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceDecreasedByTenPercentPerShareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock price decreased by 10% per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Expense (Benefit)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Income tax expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Valuation allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncomeTaxReconciliationReserveForUncertainTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Income tax reconciliation reserve for uncertain tax positions.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncomeTaxReconciliationReserveForUncertainTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Reserve For Uncertain Tax Positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncomeTaxReconciliationReserveForUncertainTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reserve for uncertain tax positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Preferred Stock, Shares Issued, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, issued shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BalanceSheetLocationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Balance Sheet Location [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BalanceSheetLocationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Balance Sheet Location</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Accrued Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Payments to Acquire Property, Plant, and Equipment, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Property, Plant, and Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of property and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PurchasePriceOfPrefundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Purchase price of prefunded warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PurchasePriceOfPrefundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Price Of Prefunded Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PurchasePriceOfPrefundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase price of prefunded warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JohnsonJohnsonInnovationJJDCIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Johnson &amp; Johnson Innovation-JJDC, Inc.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JohnsonJohnsonInnovationJJDCIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Johnson Johnson Innovation J J D C Inc [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JohnsonJohnsonInnovationJJDCIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Johnson Johnson Innovation J J D C Inc</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ResearchServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Research services.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ResearchServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research Services [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ResearchServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontNonRefundableNonCreditablePaymentReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Upfront non-refundable non-creditable payment receivable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontNonRefundableNonCreditablePaymentReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Upfront Non Refundable Non Creditable Payment Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontNonRefundableNonCreditablePaymentReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-refundable upfront payments recorded as deferred revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaborative Arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, New Issues</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public offerings of common stock, net of offering costs (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CIRMAwardLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">CIRM award liability, noncurrent.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CIRMAwardLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">C I R M Award Liability Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CIRMAwardLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CIRM award liability, net of current portion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value Assumptions Expected Term 1.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Assumptions Expected Term1</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated term (in years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Fair Value Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial assets:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EarlyTerminationFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">One-time option to terminate the lease, subject to certain termination payment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EarlyTerminationFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Early Termination Fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EarlyTerminationFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Early termination fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Hierarchy and NAV</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationOptionAndIncentivePlansPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationOptionAndIncentivePlansPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-Based Compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeeRetentionCreditPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee Retention credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeeRetentionCreditPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Retention Credit Policy</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeeRetentionCreditPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee Retention Credit Policy</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityRevenueRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recognize remaining amount of deferred revenue</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cancelled</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Stated Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award considered as a loan, interest rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseOptionToExtend_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Option to Extend</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EquityPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Equity premium.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Table]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Estimated Fair Value, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated Fair Value, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Domain]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value by Liability Class</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercisable at the end of the period</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Preferred Stock and Stockholders&#8217; Equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Attributable to Parent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total stockholders&#8217; equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Unrealized Loss Position, Accumulated Loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Unrealized Losses, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized Losses, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Unrealized Losses, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardAnnuallyAwardVestingPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share based compensation arrangement by share based payment award annually award vesting period.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardAnnuallyAwardVestingPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Annually Award Vesting Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardAnnuallyAwardVestingPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Annually vesting period</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Realized Gain (Loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Available-for-sale securities, realized gains (losses) on sales</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Other Comprehensive Gain (Loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermInvestmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Investments [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByAssetClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByAssetClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset Class</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentsIncorporatedByReferenceTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Documents Incorporated by Reference</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Milestone Two Member.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Milestone Two [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Milestone Two</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Tax Identification Number</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement Location [Axis]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Common Stock, Value, Issued, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Common Stock, Value, Issued, Total</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestonePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Milestone payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConvertiblePreferredStockAndStockholdersDeficitDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Convertible preferred stock and stockholders' equity.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConvertiblePreferredStockAndStockholdersDeficitDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Preferred Stock And Stockholders Deficit Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Accounts Payable and Accrued Liabilities, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable and Accrued Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable and accrued expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Emerging Growth Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Emerging Growth Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer, Accumulated Loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized Losses, 12 Months or Greater</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Unrealized Losses, 12 Months or Greater</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating expenses:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Interest Expense, Debt, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate interest expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested and expected to vest at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OnoPharmaceuticalCompanyLtdMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ono Pharmaceutical Company Ltd.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OnoPharmaceuticalCompanyLtdMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ono Pharmaceutical Company Ltd [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OnoPharmaceuticalCompanyLtdMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ono Pharmaceutical Company Ltd</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRecognitionPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRecognitionPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Recognition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AmendedAndRestatedExclusiveLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amended and Restated Exclusive License Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AmendedAndRestatedExclusiveLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amended And Restated Exclusive License Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AmendedAndRestatedExclusiveLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amended MSK License</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneAchievementPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Milestone achievement payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneAchievementPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Milestone achievement payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LetterOfCreditMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Letter of Credit [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LetterOfCreditMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Letter of Credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected term (in years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RestructuringAndRelatedCostNumberOfPositionsRetained_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of employee reduced</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RestructuringAndRelatedCostNumberOfPositionsRetained_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring And Related Cost Number Of Positions Retained</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RestructuringAndRelatedCostNumberOfPositionsRetained_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Restructuring and related cost number of positions retained.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Payments to Acquire Investments, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireInvestments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityVoluntaryFilers_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Entity Voluntary Filers</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityVoluntaryFilers_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Voluntary Filers</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research Tax Credit Carryforward [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAdditionalDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Additional Disclosures [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAdditionalDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retirement Benefits [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Transition Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Transition Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseAndRentalExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Operating Leases, Rent Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseAndRentalExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases, Rent Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseAndRentalExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate contractual rent expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total assets measured at fair value on a recurring basis</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Fair Value Disclosure</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets measured at fair value on a recurring basis</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Granted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationDepletionAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Depreciation, Depletion and Amortization, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationDepletionAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation, Depletion and Amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationDepletionAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationDepletionAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Depreciation and amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxUncertaintiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Uncertainties [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementsUpfrontPaymentsRecordedUnderDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of upfront payments received under collaborative arrangements is recorded as deferred revenue.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementsUpfrontPaymentsRecordedUnderDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangements Upfront Payments Recorded Under Deferred Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementsUpfrontPaymentsRecordedUnderDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-refundable upfront payments recorded as deferred revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Price Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaboration and License Agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and Contingencies</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CIRMAwardLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">CIRM award liability current.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CIRMAwardLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">C I R M Award Liability Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CIRMAwardLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CIRM award liability, current portion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Exercises in Period, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Restricted Stock Units</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated other comprehensive (loss) gain</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Accumulated Other Comprehensive Income (Loss), Net of Tax, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Other Comprehensive Income (Loss), Net of Tax</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AdditionalCancerTargetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional Cancer Targets.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AdditionalCancerTargetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Cancer Targets [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AdditionalCancerTargetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Cancer Targets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Accounts Receivable, after Allowance for Credit Loss, Current, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, after Allowance for Credit Loss, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PreferredStockConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Preferred stock conversion price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PreferredStockConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock Conversion Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PreferredStockConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Entity Common Stock, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Common Stock, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementTerminateUponReceiptOfResearchPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaborative arrangement terminate upon receipt of research payment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementTerminateUponReceiptOfResearchPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement Terminate Upon Receipt Of Research Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementTerminateUponReceiptOfResearchPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Agreement to terminate upon the receipt of research payment</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities, current portion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_NumberOfDisbursementsReceivableBasedOnCompletionOfCertainOperatingMilestones_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of disbursements receivable based on completion of certain operating milestones.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_NumberOfDisbursementsReceivableBasedOnCompletionOfCertainOperatingMilestones_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Disbursements Receivable Based On Completion Of Certain Operating Milestones</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_NumberOfDisbursementsReceivableBasedOnCompletionOfCertainOperatingMilestones_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of disbursements receivable based on completion of certain operating milestones</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SeptemberTwentyNineteenPublicEquityOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">September Twenty Nineteen public equity offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SeptemberTwentyNineteenPublicEquityOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">September Twenty Nineteen Public Equity Offering [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SeptemberTwentyNineteenPublicEquityOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 2019 Public Equity Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based Compensation arrangement by share-based payment award equity instruments other than options expected to vest aggregate intrinsic value.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Expected To Vest Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted stock units expected to vest at December 31, 2021</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid-in Capital [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Paid-in Capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaborative Arrangement and Arrangement Other than Collaborative</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Assets, Operating Loss Carryforwards, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net operating losses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MaximumPercentageOfCommonStockOwnershipAfterChangeUponNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Maximum percentage of common stock ownership after change upon notice.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MaximumPercentageOfCommonStockOwnershipAfterChangeUponNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum Percentage Of Common Stock Ownership After Change Upon Notice</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MaximumPercentageOfCommonStockOwnershipAfterChangeUponNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum percentage of common stock ownership after change upon notice.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RedmileGroupLimitedLiabilityCompanyAndAffiliatesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Redmile Group, LLC and Affiliates.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RedmileGroupLimitedLiabilityCompanyAndAffiliatesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redmile Group Limited Liability Company And Affiliates [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RedmileGroupLimitedLiabilityCompanyAndAffiliatesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redmile Group, LLC and Affiliates</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PrepaidExpensesAndOtherAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Prepaid expenses and other assets.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PrepaidExpensesAndOtherAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expenses And Other Assets [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PrepaidExpensesAndOtherAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid Expenses And Other Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Registrant Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Liabilities, Fair Value Disclosure, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Disclosure</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total financial liabilities measured at fair value on a recurring basis</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash and Cash Equivalents, at Carrying Value, Ending Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash and Cash Equivalents, at Carrying Value, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash and Cash Equivalents, at Carrying Value, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, at Carrying Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of weighted-average assumptions used to determine the fair value of employee and nonemployee stock option grants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class of Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SeptemberTwentyEighteenPublicEquityOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">September Twenty Eighteen public equity offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SeptemberTwentyEighteenPublicEquityOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">September Twenty Eighteen Public Equity Offering [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SeptemberTwentyEighteenPublicEquityOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 2018 Public Equity Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeaseDescriptionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Lease, Description [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeaseDescriptionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee Lease Description [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardAgreementForResearchAndDevelopmentDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Award agreement for research and development disclosure.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardAgreementForResearchAndDevelopmentDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Agreement For Research And Development Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardAgreementForResearchAndDevelopmentDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">California Institute for Regenerative Medicine Award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pre-Funded Warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pre Funded Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre-Funded Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Property, Plant and Equipment, Net, Ending Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Property, Plant and Equipment, Net, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total property and equipment, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award Type</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other Income</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Income</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial liabilities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityByClassOfStockTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, by Class of Stock [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityByClassOfStockTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Temporary Equity By Class Of Stock [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of 12(b) Security</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title of 12(b) Security</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock price appreciation milestone.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Price Appreciation Milestones [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock price appreciation milestones</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockConsiderationReceivedOnTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Consideration Received on Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockConsiderationReceivedOnTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net proceeds from issuance of shares after related cash costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term of stock awards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, Restricted Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash, Cash Equivalents and Restricted Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementTermOfResearch_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the agreed term of research under collaborative arrangements.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementTermOfResearch_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement Term Of Research</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementTermOfResearch_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Component</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement, Policy [Policy Text Block]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Preferred Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class A Convertible Preferred Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Revenue from Contract with Customer, Excluding Assessed Tax, Total</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseFourRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument repayment phase four rate.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseFourRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Repayment Phase Four Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseFourRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Repayment Rate Four</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, State or Province</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Four</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Upfront fee.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Upfront Fee [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Upfront Fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementPercentageOfReductionOnMilestonePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaborative arrangement percentage of reduction on milestone payments.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementPercentageOfReductionOnMilestonePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement Percentage Of Reduction On Milestone Payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementPercentageOfReductionOnMilestonePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of reduction on milestone payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested and expected to vest at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net change in cash, cash equivalents and restricted cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income (Loss), Net of Tax, Including Portion Attributable to Noncontrolling Interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Comprehensive loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Type</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Excluding Capitalized Interest, Operating Activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromCollaborators_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Collaborators</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromCollaborators_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Receipt of first disbursement under the Award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SharePriceFairValueInput_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sensitivity analysis share price fair value input.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SharePriceFairValueInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Price Fair Value Input</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SharePriceFairValueInput_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sensitivity analysis share price fair value input</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationTaxCreditsResearch_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Tax Credit, Research, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationTaxCreditsResearch_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">R&amp;D tax credits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Shell Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Shell Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total stock-based compensation expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Assets And Liabilities Measured On Recurring And Nonrecurring Basis [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MemorialSloanKetteringCancerCenterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Memorial Sloan Kettering Cancer Center.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MemorialSloanKetteringCancerCenterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Memorial Sloan Kettering Cancer Center [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MemorialSloanKetteringCancerCenterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">MSK</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring and Nonrecurring [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Assets And Liabilities Measured On Recurring And Nonrecurring Basis [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueassetslevel2Tolevel1Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Assets, Level 2 to Level 1 Transfers, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueassetslevel2Tolevel1Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FairValueAssetsLevel2ToLevel1TransfersAmounts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueassetslevel2Tolevel1Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">FairValueAssetsLevel2ToLevel1TransfersAmounts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Security Exchange Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Security Exchange Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Antidilutive Securities Excluded From Computation Of Earnings Per Share [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Operating Activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in operating activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ScheduleOfMilestonePaymentsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of milestone payments valuation assumptions table text block.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ScheduleOfMilestonePaymentsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Milestone Payments Valuation Assumptions Table [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ScheduleOfMilestonePaymentsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Assumptions Used to Determine the Estimated Fair Value of the Stock Price Appreciation Milestone Payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected recognition period of unrecognized compensation cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_GladstoneLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gladstone license agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_GladstoneLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gladstone License Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_GladstoneLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gladstone License Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromRegenerativeMedicineInstituteTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Award from regenerative medicine institute.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromRegenerativeMedicineInstituteTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award From Regenerative Medicine Institute [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromRegenerativeMedicineInstituteTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award From Regenerative Medicine Institute [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OperatingLossCarryforwardsExpirationYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating loss carryforwards expiration year.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OperatingLossCarryforwardsExpirationYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards Expiration Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OperatingLossCarryforwardsExpirationYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net operating loss carryforward expiration year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total operating lease expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Units (RSUs) [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock Units (RSUs)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Maturity [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Minimum Payments Under Non-cancelable Operating Leases</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfUnrecognizedTaxBenefitsRollForwardTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Unrecognized Tax Benefits Roll Forward [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfUnrecognizedTaxBenefitsRollForwardTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of the change in the Company's unrecognized tax benefits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consolidation, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principles of Consolidation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationAgreementExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaboration agreement expiration date.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationAgreementExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaboration Agreement Expiration Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationAgreementExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaboration agreement expiration date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Restricted Stock Unit, Activity [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of restricted stock unit activity and related information under all equity plans</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LowRangeRestructuringCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Severance and employee termination related costs - Low range</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LowRangeRestructuringCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Low Range Restructuring Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LowRangeRestructuringCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Low range restructuring costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recently Adopted and Issued Accounting Pronouncements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseThreeRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument repayment phase three rate.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseThreeRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Repayment Phase Three Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseThreeRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Repayment Rate Three</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Common Stock, Shares, Outstanding, Ending Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Common Stock, Shares, Outstanding, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, outstanding shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProfitLossSharingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Profit loss sharing percentage.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProfitLossSharingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Profit Loss Sharing Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProfitLossSharingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Profits and losses sharing percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accretion (Amortization) of Discounts and Premiums, Investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accretion and amortization of premiums and discounts on investments, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 2 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Significant Other Observable Inputs (Level 2)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenueCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Revenue, Current, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenueCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Revenue, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenueCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue classified as current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneReceivableShowsAnIncreaseInTheInitialTransactionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Milestone Receivable Shows an Increase in the Initial Transaction Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneReceivableShowsAnIncreaseInTheInitialTransactionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Milestone Receivable Shows an Increase in the Initial Transaction Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Estimated Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Estimated Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Investing Activities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investing activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockIssuedDuringPeriodValueWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock issued during period, value, warrants exercised.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockIssuedDuringPeriodValueWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Warrants Exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockIssuedDuringPeriodValueWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock upon cashless warrant exercise</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Stockpriceappreciationmilestoneincome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock price appreciation milestone, income</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Stockpriceappreciationmilestoneincome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">StockPriceAppreciationMilestoneIncome</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Stockpriceappreciationmilestoneincome_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">StockPriceAppreciationMilestoneIncome</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase related to current year tax positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and contingencies</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Authority, Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Tax Authority, Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, issued shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Common Stock, Shares, Issued, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USTreasurySecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">US Treasury Securities [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USTreasurySecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S. Treasury debt securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USTreasurySecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Treasuries, Commercial paper. Non US government securities and Corporate Debt Securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockOfPublicOfferingAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock of public offering and issuance of pre funded warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockOfPublicOfferingAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Of Public Offering And Issuance Of Pre Funded Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockOfPublicOfferingAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public offering of common stock and issuance of pre-funded warrants, net of offering costs (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Authority, Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Tax Authority, Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock price appreciation milestone payable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Price Appreciation Milestone Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestonePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock price appreciation milestone payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableInterestEntityMeasureOfActivityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Interest Entity, Measure of Activity [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Milestone one member.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Milestone One [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_MilestoneOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Milestone One</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Issued for Services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for license agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Issuance of common stock for license agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeasesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Leases [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeasesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercisable at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxCreditCarryforwardAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Credit Carryforward [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxCreditCarryforwardAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tax Credit Carryforward</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current accrued expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UnrecognizedTaxBenefitsResultingInNetOperatingLossAndTaxCreditCarryforward_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of an unrecognized tax benefit that is directly related to a position taken in a tax year, which results in a net operating loss and tax credit carryforward.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UnrecognizedTaxBenefitsResultingInNetOperatingLossAndTaxCreditCarryforward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits Resulting In Net Operating Loss And Tax Credit Carryforward</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UnrecognizedTaxBenefitsResultingInNetOperatingLossAndTaxCreditCarryforward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized tax benefit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Attributable to Parent [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders&#8217; equity:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAvailableForSaleSecuritiesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Available-for-Sale Securities [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAvailableForSaleSecuritiesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Available For Sale Securities [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CounterpartyNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CounterpartyNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Counterparty Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line Two</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line Two</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restricted Cash and Cash Equivalents, Noncurrent, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash and Cash Equivalents, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and Cash Equivalents</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JanuaryTwoThousandTwentyOnePublicEquityOfferingsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January Two Thousand Twenty One Public Equity Offerings.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JanuaryTwoThousandTwentyOnePublicEquityOfferingsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Two Thousand Twenty One Public Equity Offerings [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JanuaryTwoThousandTwentyOnePublicEquityOfferingsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2021 Public Equity Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeitures, Weighted Average Grant Date Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cancelled</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EnterpriseValueMilestonesLiabilityAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Enterprise value milestones liability at fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EnterpriseValueMilestonesLiabilityAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Enterprise Value Milestones Liability At Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EnterpriseValueMilestonesLiabilityAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Enterprise Value Milestones Liability At Fair Value.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AwardTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AwardTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award Type</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Subsequent Event</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from lease liabilities.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Lease Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deferred tax assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ImpairmentOrDisposalOfLongLivedAssetsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Impairment or Disposal of Long-Lived Assets, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ImpairmentOrDisposalOfLongLivedAssetsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Impairment of Long-Lived Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period, Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total intrinsic value of stock options exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_WarrantsForCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants for common stock.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_WarrantsForCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants For Common Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_WarrantsForCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants For Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income (Expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total other income (expense), net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Private Placement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from private placement of common stock, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueliabilitieslevel2Tolevel1Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Liabilities, Level 2 to Level 1 Transfers, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueliabilitieslevel2Tolevel1Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FairValueLiabilitiesLevel2ToLevel1TransfersAmounts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_Fairvalueliabilitieslevel2Tolevel1Transfersamounts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">FairValueLiabilitiesLevel2ToLevel1TransfersAmounts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonoperating Income (Expense) [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income (expense):</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Research and Development Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Future minimum payments under the operating leases</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total undiscounted lease payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCostAndReserveAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Decrease related to prior year tax positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Term of Contract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AdditionalCandidateMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional candidate milestone payment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AdditionalCandidateMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Candidate Milestone Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AdditionalCandidateMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional candidate milestone Payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Goodwill and Intangible Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intangible asset amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Central Index Key</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPurchaseAgreementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock purchase agreement axis.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPurchaseAgreementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Purchase Agreement [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPurchaseAgreementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Purchase Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromRegenerativeMedicineInstituteAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Award from regenerative medicine institute.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromRegenerativeMedicineInstituteAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award From Regenerative Medicine Institute [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Short-Term Investments, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions and Methodology [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average assumptions to determine fair value of stock options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAvailableForSaleSecuritiesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAvailableForSaleSecuritiesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Available For Sale Securities [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accured Interest on investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Holdings, Schedule of Investments [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregated by investment category and the length of time</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Ending Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less accumulated depreciation and amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Property Plant And Equipment [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Volatility Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AddtionalAmountAvailableForFundingUnderAward_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Addtional Amount Available For Funding Under Award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AddtionalAmountAvailableForFundingUnderAward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional amount available for funding under award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AddtionalAmountAvailableForFundingUnderAward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Addtional Amount Available For Funding Under Award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AddtionalAmountAvailableForFundingUnderAward_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Addtional amount available for funding under award.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding at the end of the period (in dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement Frequency</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EquityPremiumOnSharePricePerShareUnderAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Equity premium on share price per share under agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EquityPremiumOnSharePricePerShareUnderAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Premium On Share Price Per Share Under Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EquityPremiumOnSharePricePerShareUnderAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity premium per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">General and Administrative Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation and Presentation of Financial Statements [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization and summary of significant accounting policies</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance at the beginning of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Class A [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-Voting Class A Preferred Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research And Development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsNonrecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Nonrecurring [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsNonrecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurements Nonrecurring</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PublicOfferingOfCommonStockAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public offering of common stock and issuance of pre-funded warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PublicOfferingOfCommonStockAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Offering Of Common Stock And Issuance Of Pre Funded Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PublicOfferingOfCommonStockAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public offering of common stock and issuance of pre-funded warrants, net of offering costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Right-of-Use Asset Obtained in Exchange for Operating Lease Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Right-of-use assets obtained in exchange for lease obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustments to reconcile net loss to net cash used in operating activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxCreditCarryforwardNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Credit Carryforward, Name [Domain]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CandidateOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Candidate 1</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestones_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock price appreciation milestones.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPriceAppreciationMilestones_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Price Appreciation Milestones</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Money Market Funds [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Money market funds</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Expected To Vest Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected to vest at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CumulativeChangeInOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cumulative change in ownership percentage.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CumulativeChangeInOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative changes in ownership percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Property, Plant and Equipment, Gross, Ending Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Property, Plant and Equipment, Gross, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Property, Plant and Equipment, Gross, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment, gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PrivatePlacementOfCommonStockPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for private placement of common stock.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PrivatePlacementOfCommonStockPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement Of Common Stock Policy Policy [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PrivatePlacementOfCommonStockPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placements of Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfTaxCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage Of Tax Credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfTaxCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Tax Credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfTaxCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of Tax Credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Rights, Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock options generally vested on anniversary grant date (as a percent)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Additional Paid in Capital, Ending Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Additional Paid in Capital, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Additional Paid in Capital, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional paid-in capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Interactive Data Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Interactive Data Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxCreditCarryforwardAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Credit Carryforward, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxCreditCarryforwardAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tax credit carryforwards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseTwoRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Repayment Rate Two</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseTwoRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument repayment phase two rate.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseTwoRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Repayment Phase Two Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityPublicFloat_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Public Float</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityPublicFloat_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Public Float</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Performance-based restricted granted, none of vested Units Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LettersOfCreditOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Letters of Credit Outstanding, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LettersOfCreditOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Letters of credit outstanding amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LettersOfCreditOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Letters of credit outstanding amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible preferred stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SublicenseConsiderationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sublicense consideration.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SublicenseConsiderationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sublicense Consideration [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_SublicenseConsiderationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sublicense Consideration</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental schedule of noncash investing and financing activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DeferredTaxLiabilitiesRightOfUseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of deferred tax liability attributable to taxable temporary differences from right-of-use assets.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DeferredTaxLiabilitiesRightOfUseAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Right-of-use assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year One</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leasehold improvements-building</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leasehold Improvements [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Stock Issued, Issuance Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued issuance costs included in additional paid-in-capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of pre-funded warrants, net of issuance costs</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Local Phone Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Local Phone Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets Measured on Recurring Basis [Table Text Block]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OperatingLossCarryforwardsIndefiniteLife_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating loss carryforwards indefinite life.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OperatingLossCarryforwardsIndefiniteLife_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards Indefinite Life</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_OperatingLossCarryforwardsIndefiniteLife_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating loss carryforwards indefinite life</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaboration Agreement</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaboration Agreement [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders' Equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JunoTherapeuticsIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the name of the counter party with whom the company entered into agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JunoTherapeuticsIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Juno Therapeutics Inc [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_JunoTherapeuticsIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Juno Therapeutics, Inc</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercisable at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfCommonStockOwnershipUponPreferredStockConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of common stock ownership upon preferred stock conversion.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfCommonStockOwnershipUponPreferredStockConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Common Stock Ownership Upon Preferred Stock Conversion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfCommonStockOwnershipUponPreferredStockConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of common stock ownership upon preferred stock conversion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Existence of Option to Extend [true false]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee, operating lease, existence of option to extend</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CorrespondingAssetForSublicenseConsiderationPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Corresponding asset for sublicense consideration paid.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CorrespondingAssetForSublicenseConsiderationPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Corresponding Asset For Sublicense Consideration Paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CorrespondingAssetForSublicenseConsiderationPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sublicense consideration paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Granted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsIntrinsicValueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsIntrinsicValueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Options Intrinsic Value [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsIntrinsicValueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Components of Deferred Tax Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax liabilities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Changes in the Fair Value of the Company&#8217;s Level 3 Enterprise Fair Value Milestone Payment Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsQuantitativeInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsQuantitativeInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Determine the estimated fair value of the enterprise value milestone payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherCurrentAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Current Assets [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherCurrentAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Assets [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Upfront payments.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Upfront Payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Upfront cash payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EnterpriseValueMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Enterprise value milestone payment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EnterpriseValueMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Enterprise Value Milestone Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EnterpriseValueMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock price appreciation milestones potential payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement Location [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Statement Location</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringAndRelatedCostNumberOfPositionsEliminated_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of employee reduced</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringAndRelatedCostNumberOfPositionsEliminated_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring and Related Cost, Number of Positions Eliminated</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance at the beginning of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromResearchAndDevelopmentFeesReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds From Research and Development Fees Received.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromResearchAndDevelopmentFeesReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Research And Development Fees Received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromResearchAndDevelopmentFeesReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development fees cash payments received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromCaliforniaInstituteForRegenerativeMedicineAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award From California Institute For Regenerative Medicine [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromCaliforniaInstituteForRegenerativeMedicineAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Award from the california institute for regenerative medicine.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromCaliforniaInstituteForRegenerativeMedicineAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award From California Institute For Regenerative Medicine [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Prepaid Expense and Other Assets, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid expenses and other assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Share Based Compensation Arrangements By Share Based Payment Award [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance at the beginning of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Closing stock price as of measurement date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument, Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Year Focus</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockIssuedDuringPeriodSharesPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock issued during period shares private placement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockIssuedDuringPeriodSharesPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Issued During Period Shares Private Placement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockIssuedDuringPeriodSharesPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private placement of common stock, net of issuance costs (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockMultiplesAndTheEnterpriseValueMilestonePaymentsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock multiples and the enterprise value milestone payments.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockMultiplesAndTheEnterpriseValueMilestonePaymentsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Multiples And The Enterprise Value Milestone Payments Table [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockMultiplesAndTheEnterpriseValueMilestonePaymentsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of All Possible Stock Price Appreciation Milestone Payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class of Warrant or Right</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardForFirstInHumanClinicalTrial_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Award for first-in-human clinical trial.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardForFirstInHumanClinicalTrial_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award For First In Human Clinical Trial</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardForFirstInHumanClinicalTrial_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award for first-in-human clinical trial</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Two</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnings Per Share, Basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Earnings Per Share, Basic, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LoanAndSecurityAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan and security agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LoanAndSecurityAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan And Security Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_LoanAndSecurityAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan and Security Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePriceRollforward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePriceRollforward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxCreditCarryforwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Credit Carryforward [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxCreditCarryforwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tax Credit Carryforward [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForTenantImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Tenant Improvements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForTenantImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate tenant improvements of the premises</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeesAndDirectorsStockOptionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employees and Directors stock options.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeesAndDirectorsStockOptionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employees And Directors Stock Options [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeesAndDirectorsStockOptionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee and Directors Stock Option</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeeRetentionCreditMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Retention Credit [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_EmployeeRetentionCreditMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee Retention Credit [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConversionOfPreferredSharesToCommonStocksShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion of preferred shares to common stock, shares</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_RefundableTaxCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Refundable Tax Credit</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementAnnualPaymentsReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaborative arrangement annual payments received.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardPercentageOfAdditionalSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional shares authorized (as a percent)</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockCompensationPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Compensation Plan</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Convertible Preferred Stock (if converted)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instrument [Axis]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Tangible Asset [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-Lived Tangible Asset</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsDeferredIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingRollForward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding [Roll Forward]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingRollForward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseOneRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument repayment phase one rate.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseOneRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Repayment Phase One Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_DebtInstrumentRepaymentPhaseOneRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Repayment Rate One</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities and Stockholders&#8217; Equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPurchaseAgreementDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock purchase agreement domain.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPurchaseAgreementDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Purchase Agreement [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_StockPurchaseAgreementDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Purchase Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_InducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Inducement plan.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_InducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inducement Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_InducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inducement Plan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities, Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Antidilutive Securities, Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Authority [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Tax Authority</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfRestructuringDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Type of Restructuring [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromRegenerativeMedicineInstituteLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Award from regenerative medicine institute.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromRegenerativeMedicineInstituteLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award From Regenerative Medicine Institute [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AwardFromRegenerativeMedicineInstituteLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award from California institute for regenerative medicine</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current assets:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ScheduleOfCommonStockReservedForFutureIssuanceTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tabular disclosure of the common stock reserved for future issuance.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ScheduleOfCommonStockReservedForFutureIssuanceTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Common Stock Reserved For Future Issuance Table [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ScheduleOfCommonStockReservedForFutureIssuanceTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of common stock reserved for future issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Exercise Price of Warrants or Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Deferred Tax Assets and Liabilities [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of significant components of the Company's deferred tax assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, Less than 12 Months, Accumulated Loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized Losses, Less Than 12 Months</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Unrealized Losses, Less Than 12 Months</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Hierarchy and NAV</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase related to prior year tax positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Increase related to prior year tax positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement Frequency</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsRiskFreeInterestRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value Assumptions Risk Free Interest Rate 1.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsRiskFreeInterestRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Assumptions Risk Free Interest Rate1</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_FairValueAssumptionsRiskFreeInterestRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk-free interest rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_UpfrontFeeAndEquityPremiumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Upfront fee and equity premium.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCostAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease, Cost [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConvertiblePreferredStockPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Convertible preferred stock.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConvertiblePreferredStockPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Preferred Stock Policy [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ConvertiblePreferredStockPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Preferred Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncreaseDecreaseInFairValueOfStockPriceAppreciationMilestones_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in fair value of stock price appreciation milestones.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncreaseDecreaseInFairValueOfStockPriceAppreciationMilestones_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Fair Value Of Stock Price Appreciation Milestones</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncreaseDecreaseInFairValueOfStockPriceAppreciationMilestones_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of stock price appreciation milestones</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_IncreaseDecreaseInFairValueOfStockPriceAppreciationMilestones_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of stock price appreciation milestones</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherThanTemporaryImpairmentLossDebtSecuritiesAvailableForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Available-for-sale securities, impairment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductsAndServicesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Domain]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReconciliationOfUnrecognizedTaxBenefitsExcludingAmountsPertainingToExaminedTaxReturnsRollForward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReconciliationOfUnrecognizedTaxBenefitsExcludingAmountsPertainingToExaminedTaxReturnsRollForward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in the Company's unrecognized tax benefits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Five</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentOfTaxableIncomeOffset_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percent of taxable income offset.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentOfTaxableIncomeOffset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percent Of Taxable Income Offset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentOfTaxableIncomeOffset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percent of taxable income offset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Vested</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current liabilities:</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfCommonStockOwnershipForPreferredStockConversionChangeUponNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of common stock ownership for preferred stock conversion change upon notice.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfCommonStockOwnershipForPreferredStockConversionChangeUponNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Common Stock Ownership For Preferred Stock Conversion Change Upon Notice</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PercentageOfCommonStockOwnershipForPreferredStockConversionChangeUponNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred shares converted into common stock percentage of ownership change upon notice</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PatentCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for patent costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PatentCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Patent Costs Policy [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_PatentCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Patent Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized loss on investments, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">OCI, Debt Securities, Available-for-Sale, Unrealized Holding Gain (Loss), before Adjustment, after Tax</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of allocation of stock-based compensation for all stock awards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash provided by (used in) investing activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Investing Activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FurnitureAndFixturesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Furniture and Fixtures [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FurnitureAndFixturesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Furniture And Fixtures</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromPublicOfferingOfCommonStockAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from public offering of common stock, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromPublicOfferingOfCommonStockAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Public Offering of Common Stock and Issuance of Pre-Funded Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ProceedsFromPublicOfferingOfCommonStockAndIssuanceOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The cash inflow associated with the amount received.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Antidilutive Securities Excluded From Computation Of Earnings Per Share [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of stock options, net of issuance costs (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValueOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValueOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate value of common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 3 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Significant Unobservable Inputs (Level 3)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Use of Estimates, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Use of Estimates</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Restricted Stock Award, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock upon vesting of restricted stock units (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based Compensation arrangement by share-based payment award equity instruments other than options expected to vest weighted average grant date fair value.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Expected To Vest Weighted Average Grant Date Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected to vest at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementAggregateMilestonePaymentsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaborative arrangement aggregate milestone payments receivable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementAggregateMilestonePaymentsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement Aggregate Milestone Payments Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CollaborativeArrangementAggregateMilestonePaymentsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate milestone payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockIssuedDuringPeriodValuePrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock issued during period value private placement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockIssuedDuringPeriodValuePrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Issued During Period Value Private Placement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_CommonStockIssuedDuringPeriodValuePrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private placement of common stock, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Liabilities, Gross, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Total deferred tax liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Issued for Services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for license agreements (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Stock Options Exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of stock options, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Reporting</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="fate_AccruedExpensesAndLongTermDebtDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued expenses and long term debt disclosure.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Long-term Investments, Total</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested and expected to vest at the end of the period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Useful Life</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedContributionPlanCostRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Defined Contribution Plan, Cost</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Authorized</link:label>
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