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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-12-13</periodOfReport>

    <issuer>
        <issuerCik>0001434418</issuerCik>
        <issuerName>CONSTELLATION PHARMACEUTICALS INC</issuerName>
        <issuerTradingSymbol>CNST</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001239241</rptOwnerCik>
            <rptOwnerName>EVNIN ANTHONY B</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O VENROCK</rptOwnerStreet1>
            <rptOwnerStreet2>7 BRYANT PARK, 23RD FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10018</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2019-12-13</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>400000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>34.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5742765</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Funds</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Consists of an aggregate of 363,640 shares of Common Stock purchased by Venrock Healthcare Capital Partners III, L.P. (&quot;VHCP III&quot;) and 36,360 shares of Common Stock purchased by VHCP Co-Investment Holdings III, LLC (&quot;Co-Invest III&quot;) (collectively, the &quot;VHCP III Funds&quot;).</footnote>
        <footnote id="F2">Consists of an aggregate of 1,557,276 shares of Common Stock held by Venrock Associates V, L.P. (&quot;VA5&quot;), 132,026 shares of Common Stock held by Venrock Partners V, L.P. (&quot;VP5&quot;), 36,590 shares of Common Stock held by Venrock Entrepreneurs Fund V, L.P. (&quot;VEF5&quot;) (collectively, the &quot;V5 Funds&quot;), 2,287,598 shares of Common Stock held by VHCP III, 228,644 shares of Common Stock held by Co-Invest III, 1,067,801 shares of Common Stock held by Venrock Healthcare Capital Partners II, L.P. (&quot;VHCP II&quot;) and 432,830 shares of Common Stock held by VHCP Co-Investment Holdings II, LLC (&quot;Co-Invest II&quot; and collectively with VHCP II and the VHCP III Funds, the &quot;VHCP Funds&quot;).</footnote>
        <footnote id="F3">Venrock Management V, LLC (&quot;VM5&quot;), Venrock Partners Management V, LLC (&quot;VPM5&quot;), and VEF Management V, LLC (&quot;VEFM5&quot;) are the sole general partners of VA5, VP5 and VEF5, respectively, and may be deemed to own the shares held by the V5 Funds. Dr. Evnin is one of more than three members of VM5, VPM5 and VEFM5.  VHCP Management III, LLC (&quot;VHCPM III&quot;) is the sole general partner and the sole manager of VHCP III and Co-Invest III, respectively, and may be deemed to own the shares held by VHCP III and Co-Invest III. VHCP Management II, LLC (&quot;VHCPM II&quot;) is the sole general partner and the sole manager of VHCP II and Co-Invest II, respectively, and may be deemed to own the shares held by VHCP II and Co-Invest II.  Bong Koh and Nimish Shah are the voting members of VHCPM III and VHCPM II. Dr. Evnin disclaims beneficial ownership over all shares held by the V5 Funds and the VHCP Funds except to the extent of his indirect proportionate pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Anthony B. Evnin</signatureName>
        <signatureDate>2019-12-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
