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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-07-06</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001351288</issuerCik>
        <issuerName>GW PHARMACEUTICALS PLC</issuerName>
        <issuerTradingSymbol>GWPH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001754125</rptOwnerCik>
            <rptOwnerName>Snyder Douglas B.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>SOVEREIGN HOUSE, VISION PARK, HISTON</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>X0</rptOwnerState>
            <rptOwnerZipCode>CB24 9BZ</rptOwnerZipCode>
            <rptOwnerStateDescription>UNITED KINGDOM</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Legal Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2020-07-06</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>9804</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.50</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The sale reported was effected pursuant to a Rule 10b5-1 trading plan adopted by the Reporting Person on June 5, 2020.</footnote>
        <footnote id="F2">Represented by American Depositary Shares of the Issuer (&quot;ADS&quot;). Each ADS represents twelve ordinary shares of the Issuer.</footnote>
        <footnote id="F3">The price reported is price per ordinary share converted from price per ADS.</footnote>
        <footnote id="F4">Column 5 of Table I of the reporting person's Form 4 filed with the SEC on March 4, 2020 includes 57,492 ordinary shares underlying RSU style share options granted pursuant to the Issuer's Long-Term Incentive Plan, including (i) 19,908 ordinary shares vesting automatically in two equal installments on August 10, 2020 and 2021, (ii) 19,224 ordinary shares vesting automatically in two equal installments on February 26, 2021 and 2022, and (iii) 18,360 ordinary shares vesting automatically in three equal installments on March 1, 2021, 2022, and 2023. These ordinary shares have been excluded from Column 5 of this Form 4 and will be reported as each tranche is vested and automatically exercised.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Douglas B. Snyder</signatureName>
        <signatureDate>2020-07-08</signatureDate>
    </ownerSignature>
</ownershipDocument>
