<SEC-DOCUMENT>0001140859-25-000027.txt : 20250204
<SEC-HEADER>0001140859-25-000027.hdr.sgml : 20250204
<ACCEPTANCE-DATETIME>20250204163311
ACCESSION NUMBER:		0001140859-25-000027
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20250131
FILED AS OF DATE:		20250204
DATE AS OF CHANGE:		20250204

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Tyler Lauren M
		CENTRAL INDEX KEY:			0001765744
		ORGANIZATION NAME:           	

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-16671
		FILM NUMBER:		25588809

	MAIL ADDRESS:	
		STREET 1:		C/O ALLEGHANY CORPORATION
		STREET 2:		1411 BROADWAY, 34TH FLOOR
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10018

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			Cencora, Inc.
		CENTRAL INDEX KEY:			0001140859
		STANDARD INDUSTRIAL CLASSIFICATION:	WHOLESALE-DRUGS PROPRIETARIES & DRUGGISTS' SUNDRIES [5122]
		ORGANIZATION NAME:           	07 Trade & Services
		IRS NUMBER:				233079390
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0930

	BUSINESS ADDRESS:	
		STREET 1:		1 WEST FIRST AVENUE
		CITY:			CONSHOHOCKEN
		STATE:			PA
		ZIP:			19428
		BUSINESS PHONE:		610-727-7000

	MAIL ADDRESS:	
		STREET 1:		1 WEST FIRST AVENUE
		CITY:			CONSHOHOCKEN
		STATE:			PA
		ZIP:			19428

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	AMERISOURCEBERGEN CORP
		DATE OF NAME CHANGE:	20010517
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wk-form4_1738704784.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2025-01-31</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001140859</issuerCik>
        <issuerName>Cencora, Inc.</issuerName>
        <issuerTradingSymbol>COR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001765744</rptOwnerCik>
            <rptOwnerName>Tyler Lauren M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1 WEST FIRST AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CONSHOHOCKEN</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19428</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2025-01-31</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>99</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>254.21</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1982</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Grant of Restricted Stock Units received in lieu of $25,000 quarterly cash retainer per the Registrant's Non-Employee Director Compensation Program. Delivery of shares deferred until 03/01/2030.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Elizabeth S. Campbell, attorney-in-fact for Lauren M. Tyler</signatureName>
        <signatureDate>2025-02-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
