<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-06-24</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001158463</issuerCik>
        <issuerName>JETBLUE AIRWAYS CORP</issuerName>
        <issuerTradingSymbol>JBLU</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001699419</rptOwnerCik>
            <rptOwnerName>Priest Stephen J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O JETBLUE AIRWAYS CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>27-01 QUEENS PLAZA NORTH</rptOwnerStreet2>
            <rptOwnerCity>LONG ISLAND CITY</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>11101</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-06-24</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>10626</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>43340</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-06-24</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>3610</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.255</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>41013</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Represents shares of JetBlue Airways Corporation (the Company) common stock earned by, and issued to, the Reporting Person upon vesting of Performance Share Units (2017 PSUs) granted on April 12, 2017, based on a relative Return on Invested Capital (ROIC) goal and a pre-tax margin growth goal, weighted 2/3 for ROIC and 1/3 for relative pre-tax margin growth, for the performance period from January 1, 2017 through December 31, 2019. Following the conclusion of the three year performance period, the Compensation Committee certified to the performance of the Company relative to these goals for the 2017 PSUs at 75.1%.</footnote>
        <footnote id="F2">Represents shares withheld by the Company for taxes, as permitted by the JetBlue Airways Corporation 2011 Incentive Compensation Plan and related award agreement, to satisfy the tax withholding obligations of the Reporting Person in connection with the vesting and settlement of the 2017 PSUs. There was no open market sale of shares by the Reporting Person.</footnote>
        <footnote id="F3">Closing market price per share of the Company common stock on the settlement date.</footnote>
        <footnote id="F4">Reflects the April 30, 2020 purchase of 1,283 shares through the JetBlue Crewmember Stock Purchase Plan at a price of $ 8.279 (reflecting the plan discount).</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/Eileen McCarthy by  power of attorney for Stephen J. Priest</signatureName>
        <signatureDate>2020-06-26</signatureDate>
    </ownerSignature>
</ownershipDocument>
