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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2013-08-02</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001498710</issuerCik>
        <issuerName>Spirit Airlines, Inc.</issuerName>
        <issuerTradingSymbol>SAVE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001513073</rptOwnerCik>
            <rptOwnerName>Indigo Florida L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O INDIGO PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>2525 EAST CAMELBACK ROAD, SUITE 800</rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85016</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001536853</rptOwnerCik>
            <rptOwnerName>Long Bar Miramar LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2525 EAST CAMELBACK ROAD, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85016</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000929613</rptOwnerCik>
            <rptOwnerName>FRANKE WILLIAM A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2525 EAST CAMELBACK ROAD, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85016</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2013-08-02</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>11266193</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>33.15</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2013-08-02</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>804727</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>33.15</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7128</value>
                    <footnoteId id="F5"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Transaction carried out as part of an underwritten secondary public offering of common stock of the issuer consummated on August 2, 2013.</footnote>
        <footnote id="F2">Shares held by Indigo Florida, L.P.</footnote>
        <footnote id="F3">Shares held by Long Bar Miramar, LLC.</footnote>
        <footnote id="F4">Indigo Pacific Partners LLC is the sole member of Indigo Pacific Capital LLC, which is the general partner of Indigo Pacific Management LP, which is the general partner of Indigo Florida, L.P. Indigo Management LLC is the manager of Long Bar Miramar LLC. William Franke, a member of the Issuer's board of directors, is a managing member of Indigo Pacific Partners LLC and a manager of Indigo Management LLC and shares voting and investment power over the shares held by Indigo Florida, L.P. and by Long Bar Miramar LLC. Mr. Franke disclaims beneficial ownership of the shares reported herein, except to the extent of his proportionate pecuniary interest therein.</footnote>
        <footnote id="F5">Includes 3,200 unvested Restricted Stock Units (&quot;RSUs&quot;).  Such RSUs were awarded to William A. Franke on April 8, 2013 by the Issuer for his board service under the Issuer's non-executive director compensation program administered under the Issuer's 2011 Equity Incentive Plan.  As a result of the sale of all of the shares by Indigo Florida and Long Bar Miramar, Mr. Franke has disclosed his intention to resign from the Board of Directors of the Issuer on August 7, 2013. Upon Mr. Franke's resignation, all of the RSUs will be forfeited.</footnote>
        <footnote id="F6">Shares held by William A. Franke</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Thomas Canfield, as Attorney-in-Fact for Indigo Florida, L.P.</signatureName>
        <signatureDate>2013-08-06</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Thomas Canfield, as Attorney-in-Fact for Long Bar Miramar LLC</signatureName>
        <signatureDate>2013-08-06</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Thomas Canfield, as Attorney-in-Fact for William Franke</signatureName>
        <signatureDate>2013-08-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
