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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2022-05-12</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001364479</issuerCik>
        <issuerName>HERC HOLDINGS INC</issuerName>
        <issuerTradingSymbol>HRI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001844277</rptOwnerCik>
            <rptOwnerName>Miller Steven D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ICAHN ENTERPRISES L.P.</rptOwnerStreet1>
            <rptOwnerStreet2>16690 COLLINS AVENUE - PH-1</rptOwnerStreet2>
            <rptOwnerCity>SUNNY ISLES BEACH</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>33160</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

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

    <ownerSignature>
        <signatureName>/s/ S. Wade Sheek by Power of Attorney</signatureName>
        <signatureDate>2022-05-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
