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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2018-06-07</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001674101</issuerCik>
        <issuerName>GS Acquisition Holdings Corp</issuerName>
        <issuerTradingSymbol>GSAH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001246989</rptOwnerCik>
            <rptOwnerName>FRADIN ROGER</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O GS ACQUISITION HOLDINGS CORP</rptOwnerStreet1>
            <rptOwnerStreet2>200 WEST STREET</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10282</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Class B common stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A common stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>35000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Shares of Class B common stock, par value $0.0001 per share, of GS Acquisition Holdings Corp (the &quot;Issuer&quot;), will automatically convert into shares of Class A common stock, par value $0.0001 per share, of the Issuer at the time of the Issuer's initial business combination, or earlier at the option of the holder, on a one-for-one basis, subject to certain adjustment, and have no expiration date, as described under the heading &quot;Description of Securities-Founder Shares&quot; in the Issuer's Registration Statement on Form S-1 (File No. 333-225035).</footnote>
    </footnotes>

    <remarks>Exhibit 24.1 -- Power of Attorney</remarks>

    <ownerSignature>
        <signatureName>Roger Fradin, By: Goldman Sachs Asset Management, L.P., as attorney-in-fact for Roger Fradin, By: /s/ Judith Shandling, Compliance Officer</signatureName>
        <signatureDate>2018-06-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
