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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2007-12-12</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001407539</issuerCik>
        <issuerName>Liberty Acquisition Holdings Corp.</issuerName>
        <issuerTradingSymbol>LIA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001018408</rptOwnerCik>
            <rptOwnerName>BERGGRUEN NICOLAS</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>9-11 GROSVENOR GARDENS</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>LONDON</rptOwnerCity>
            <rptOwnerState>X0</rptOwnerState>
            <rptOwnerZipCode>SW1W OBD</rptOwnerZipCode>
            <rptOwnerStateDescription>UNITED KINGDOM</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Common Stock Warrant (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>5.50</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2007-12-12</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>6000000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>1.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2013-12-12</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>6000000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>11553000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Berggruen Acquisition Holdings Ltd</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">These warrants will become exercisable on the later of (i) the consummation of the Issuer's initial business combination with one or more target businesses or (ii) December 6, 2008, provided in each case that there is an effective registration statement covering the shares of common stock underlying the warrants in effect.</footnote>
        <footnote id="F2">Mr. Berggruen is a director of Berggruen Acquisition Holdings Ltd (&quot;BAH&quot;) and may be considered to have beneficial ownership of BAH's interest in the Issuer. Mr. Berggruen disclaims beneficial ownership of any shares in which he does not have a pecuniary interest.</footnote>
    </footnotes>

    <remarks>Exhibit 24.1 Limited Power of Attorney, dated October 23, 2007, by Nicolas Berggruen (incorporated by reference to Exhibit 24.1 to Form 3 filed by Nicolas Berggruen on December 6, 2007, with respect to the Issuer).</remarks>

    <ownerSignature>
        <signatureName>/s/ Jared S. Bluestein</signatureName>
        <signatureDate>2007-12-14</signatureDate>
    </ownerSignature>
</ownershipDocument>
