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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2013-09-24</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001403708</issuerCik>
        <issuerName>Evoke Pharma Inc</issuerName>
        <issuerTradingSymbol>EVOK</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001024007</rptOwnerCik>
            <rptOwnerName>GARNER CAM L</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O EVOKE PHARMA, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>12555 HIGH BLUFF DRIVE, SUITE 385</rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92130</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>360000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Series A Preferred Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>15605</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Includes (a) 320,000 shares held by Garner Investments L.L.C., of which Mr. Garner is the managing member, (b) 20,000 shares held by the Anna Berenice Garner Irrevocable Trust dtd 8/13/2007, of which Mr. Garner is a trustee and (c) 20,000 shares held by the Lee Adair Garner Irrevocable Trust dtd 8/13/2007, of which Mr. Garner is a trustee.</footnote>
        <footnote id="F2">The Series A Convertible Preferred Stock has no expiration date, is convertible at any time, in whole or in part, at the election of the holder, and will automatically convert immediately prior to the closing of the Issuer's initial public offering at a conversion ratio of one share of Common Stock for every five shares of Series A Convertible Preferred Stock, rounded down to the next whole number, for no additional consideration.</footnote>
        <footnote id="F3">The shares are held by Garner Investments L.L.C., of which Mr. Garner is the managing member.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Matthew J. D'Onofrio, Attorney-in-fact for Cam L. Garner</signatureName>
        <signatureDate>2013-09-24</signatureDate>
    </ownerSignature>
</ownershipDocument>
