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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2008-02-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001031283</issuerCik>
        <issuerName>ENTRUST INC</issuerName>
        <issuerTradingSymbol>ENTU</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001321711</rptOwnerCik>
            <rptOwnerName>Empire Capital Management, L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1 GORHAM ISLAND, SUITE 201</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>WESTPORT</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06880</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2008-02-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>56389</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.40</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9220671</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Notes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2008-02-20</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>184282</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.51</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9404953</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Notes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">1. The shares of Common Stock this note relates to are held directly by Empire Capital Partners, L.P. (&quot;Empire Capital&quot;), with respect to the 4,448,352 shares, Empire Capital Partners, Ltd. a Cayman Islands exempted company (&quot;Offshore&quot;) as to 4,159,815 shares, Charter Oak Partners, LP a Delaware Limited Partnership (&quot;Charter Oak&quot;) as to 670,119 shares, Charter Oak Partners II (&quot;Charter Oak II&quot;) as to 95,652 and Charter Oak Master Fund, LP (&quot;Charter Oak Master,&quot; and collectively with Empire Capital, Offshore, Charter Oak and Charter Oak II, &quot;the Empire Funds&quot;) as to 31,015 shares of Common Stock directly owned by it.</footnote>
        <footnote id="F2">2. Empire Capital Management L.L.C. (the &quot;Investment Manager&quot;) serves as the Investment Manager and has investment discretion over the securities held by Offshore, Charter Oak, Charter Oak II and Charter Oak Master. Empire Capital GP, L.L.C. (&quot;Empire GP&quot;), serves as general partner of Empire Capital. Mr. Scott Fine and Mr. Peter Richards are managing members of the Investment Manager and Empire GP.</footnote>
        <footnote id="F3">3. The Investment Manager, Empire GP and the Empire Funds, disclaim beneficial ownership of any of the Issuer's securities to which this Form 4 relates for the purposes of Section 16 of the Securities Exchange Act of 1934, as amended (the &quot;Act&quot;), except as to such securities in which each such person may be deemed to have a pecuniary interest pursuant to the Act.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Empire Capital Management, LLC
By:  Scott A. Fine, Managing Member
     Peter J. Richards, Managing Member</signatureName>
        <signatureDate>2008-02-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
