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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-02-07</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001674101</issuerCik>
        <issuerName>Vertiv Holdings Co</issuerName>
        <issuerTradingSymbol>VRT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001801998</rptOwnerCik>
            <rptOwnerName>VPE Holdings, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE, SOUTH BUILDING</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001801997</rptOwnerCik>
            <rptOwnerName>Vertiv JV Holdings, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE, SOUTH BUILDING</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001801996</rptOwnerCik>
            <rptOwnerName>PE Vertiv Holdings, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE, SOUTH BUILDING</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001676357</rptOwnerCik>
            <rptOwnerName>Platinum Equity Investment Holdings III, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE, SOUTH BUILDING</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001757175</rptOwnerCik>
            <rptOwnerName>Platinum Equity Investment Holdings III Manager, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE, SOUTH BUILDING</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001228754</rptOwnerCik>
            <rptOwnerName>PLATINUM EQUITY LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE, SOUTH BUILDING</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001471783</rptOwnerCik>
            <rptOwnerName>Gores Tom</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE, SOUTH BUILDING</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Options</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>12.05</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-02-07</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>77294</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2030-02-06</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>77294</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>77294</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Consists of options to purchase shares of Class A common stock of Vertiv Holdings Co (the &quot;Issuer&quot;), subject to vesting in equal or nearly equal installments on February 7 of each of 2021, 2022, 2023 and 2024, granted to Jacob Kotzubei and Matthew Louie, assuming continued board service through the applicable vesting date. Options to purchase 38,647 shares of Class A common stock of the Issuer were granted to each of Messrs. Kotzubei and Louie.</footnote>
        <footnote id="F2">Pursuant to a contractual agreement between Messrs. Kotzubei and Louie, on the one hand, and VPE Holdings, LLC (&quot;VPE&quot;), on the other hand, the shares of Class A common stock of the Issuer issuable to Messrs. Kotzubei and Louie upon exercise of such stock options will be immediately transferred to VPE in a transaction exempt from Section 16 pursuant to Rule 16a-13 thereunder.</footnote>
        <footnote id="F3">Vertiv JV Holdings, LLC (&quot;JV&quot;) owns a majority of the outstanding equity interests of VPE, and PE Vertiv Holdings, LLC (&quot;PE Vertiv&quot;) owns a majority of the outstanding interests of JV, and, accordingly, each may be deemed to beneficially own the shares of Class A common stock beneficially owned by VPE. PE Vertiv is directly owned by six private equity investment funds, none of which private equity investment funds individually has the power to direct the voting or disposition of shares beneficially owned.  Platinum Equity Investment Holdings III, LLC (&quot;Holdings III&quot;) is the managing member of one of such funds and the managing member of the general partner of four of such funds. Through such positions, Holdings III has the indirect power to direct the voting of a majority of the outstanding equity interests of PE Vertiv.</footnote>
        <footnote id="F4">(Continued from Footnote 3) Platinum Equity Investment Holdings Manager III, LLC (&quot;Holdings Manager&quot;) is the managing member of Holdings III. Platinum Equity, LLC (&quot;Platinum&quot;) is sole member of Holdings Manager and indirectly controls Platinum Equity Capital Partners IV, L.P. (&quot;Capital IV&quot;), which is the other private equity investment fund that owns equity interests of PE Vertiv. Mr. Tom Gores (together with VPE, JV, PE Vertiv, Holdings III and Holdings Manager, the &quot;Reporting Persons&quot;) is the beneficial owner of Platinum and the manager of the general partner of the general partner of Capital IV. Accordingly, as a result of their indirect ownership and control of each of VPE, JV and PE Vertiv, each of Holdings III, Holdings Manager, Platinum and Mr. Tom Gores may be deemed to beneficially own the shares owned directly by VPE.</footnote>
        <footnote id="F5">Because of the relationship among the Reporting Persons, the Reporting Persons may be deemed to beneficially own the securities reported herein to the extent of their respective pecuniary interests. Each Reporting Person disclaims beneficial ownership of the securities reported herein, except to the extent of such Reporting Person's pecuniary interest therein, if any.</footnote>
        <footnote id="F6">Pursuant to Rule 16a-1(a)(4) under the Exchange Act, this filing shall not be deemed an admission that the Reporting Persons are, for purposes of Section 16 of the Exchange Act or otherwise, the beneficial owners of any equity securities in excess of their respective pecuniary interests.</footnote>
    </footnotes>

    <remarks>VPE, which is indirectly controlled by Tom Gores as described in footnotes 3-5, is party to a Stockholders Agreement with the Issuer which gives VPE the right to nominate up to four directors to the Issuer's board of directors, subject to certain ownership thresholds. Jacob Kotzubei and Matthew Louie serve on the Issuer's board of directors pursuant to this right.  Each of Messrs. Kotzubei and Louie is a Partner of Platinum Equity.  Accordingly, Messrs. Kotzubei and Louie may be determined to represent the interests of the Reporting Persons on the Board of Directors of the Issuer, and accordingly, the Reporting Persons may be deemed to be directors for purposes of Section 16 of the Securities Exchange Act of 1934, as amended.</remarks>

    <ownerSignature>
        <signatureName>/s/ Mary Ann Sigler, Attorney-in-Fact for VPE Holdings, LLC</signatureName>
        <signatureDate>2020-02-10</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Mary Ann Sigler, Attorney-in-Fact for Vertiv JV Holdings, LLC</signatureName>
        <signatureDate>2020-02-10</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Mary Ann Sigler, Attorney-in-Fact for PE Vertiv Holdings, LLC</signatureName>
        <signatureDate>2020-02-10</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Mary Ann Sigler, Attorney-in-Fact for Platinum Equity Investment Holdings III, LLC</signatureName>
        <signatureDate>2020-02-10</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Mary Ann Sigler, Attorney-in-Fact for Platinum Equity Investment Holdings Manager III, LLC</signatureName>
        <signatureDate>2020-02-10</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Mary Ann Sigler, Attorney-in-Fact for Platinum Equity, LLC</signatureName>
        <signatureDate>2020-02-10</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Mary Ann Sigler, Attorney-in-Fact for Tom Gores</signatureName>
        <signatureDate>2020-02-10</signatureDate>
    </ownerSignature>
</ownershipDocument>
