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

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2004-12-13</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001310777</issuerCik>
        <issuerName>Lazard Global Mid Cap Fund, Inc.</issuerName>
        <issuerTradingSymbol>LMG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001287735</rptOwnerCik>
            <rptOwnerName>REINSBERG JOHN</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LAZARD ASSET MANAGEMENT LLC</rptOwnerStreet1>
            <rptOwnerStreet2>30 ROCKEFELLER PLAZA</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10112</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Deputy Chairman of LAM (1)</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>(1)  Lazard Asset Management LLC (&quot;LAM&quot;) is the investment adviser to LMG.</remarks>

    <ownerSignature>
        <signatureName>/s/  John Reinsberg                                                                                                                            John Reinsberg                                                  Deputy Chairman, Lazard Asset Management LLC</signatureName>
        <signatureDate>2004-12-31</signatureDate>
    </ownerSignature>
</ownershipDocument>

