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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2024-09-27</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0002011286</issuerCik>
        <issuerName>Amentum Holdings, Inc.</issuerName>
        <issuerTradingSymbol>AMTM</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001173003</rptOwnerCik>
            <rptOwnerName>DEMETRIOU STEVEN J.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O AMENTUM HOLDINGS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>4800 WESTFIELDS BOULEVARD, SUITE 400</rptOwnerStreet2>
            <rptOwnerCity>CHANTILLY</rptOwnerCity>
            <rptOwnerState>VA</rptOwnerState>
            <rptOwnerZipCode>20151</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>true</isOfficer>
            <officerTitle>Executive Chair</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <remarks>Exhibit 24 - Power of Attorney</remarks>

    <ownerSignature>
        <signatureName>/s/ Paul W. Cobb, Jr.
Attorney-in-fact</signatureName>
        <signatureDate>2024-09-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
