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

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2024-08-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000096021</issuerCik>
        <issuerName>SYSCO CORP</issuerName>
        <issuerTradingSymbol>SYY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001610643</rptOwnerCik>
            <rptOwnerName>Russell Neil</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1390 ENCLAVE PARKWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77077</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>SVP, Corp. Affairs and CAO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2024-08-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>3333.133</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>76.44</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>26522.017</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2024-08-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1245</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>76.44</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>25277.017</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Shares received upon the vesting of performance share units granted by the Compensation and Leadership Development Committee of the Company's Board of Directors (the &quot;Committee&quot;) pursuant to the 2018 Omnibus Incentive Plan.  These performance share units were granted by the Committee in August 2021.  The number of shares of common stock received upon the vesting of these performance share units was determined based upon the Company's performance with regard to pre-established financial performance metrics for the performance period from fiscal 2022 to fiscal 2024.</footnote>
        <footnote id="F2">These shares were withheld upon the vesting of performance share units to pay tax withholding obligations.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Eve M. McFadden, Attorney-in-fact</signatureName>
        <signatureDate>2024-08-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0508
4
2024-08-01
0
0000096021
SYSCO CORP
SYY
0001610643
Russell Neil
1390 ENCLAVE PARKWAY
HOUSTON
TX
77077
0
1
0
0
SVP, Corp. Affairs and CAO
0
Common Stock
2024-08-01
4
A
0
3333.133
76.44
A
26522.017
D
Common Stock
2024-08-01
4
F
0
1245
76.44
D
25277.017
D
Shares received upon the vesting of performance share units granted by the Compensation and Leadership Development Committee of the Company's Board of Directors (the "Committee") pursuant to the 2018 Omnibus Incentive Plan.  These performance share units were granted by the Committee in August 2021.  The number of shares of common stock received upon the vesting of these performance share units was determined based upon the Company's performance with regard to pre-established financial performance metrics for the performance period from fiscal 2022 to fiscal 2024.
These shares were withheld upon the vesting of performance share units to pay tax withholding obligations.
/s/Eve M. McFadden, Attorney-in-fact
2024-08-02