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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2016-10-19</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001044378</issuerCik>
        <issuerName>BIOCEPT INC</issuerName>
        <issuerTradingSymbol>BIOC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001667354</rptOwnerCik>
            <rptOwnerName>Ally Bridge LB Healthcare Master Fund Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>UNIT 3002-3004,30TH FLR,GLOUCESTER TOWER</rptOwnerStreet1>
            <rptOwnerStreet2>THE LANDMARK, 15 QUEENS ROAD CENTRAL</rptOwnerStreet2>
            <rptOwnerCity>HONG KONG</rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001668028</rptOwnerCik>
            <rptOwnerName>Ally Bridge LB Management Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>UNIT 3002-3004,30TH FLR,GLOUCESTER TOWER</rptOwnerStreet1>
            <rptOwnerStreet2>THE LANDMARK, 15 QUEENS ROAD CENTRAL</rptOwnerStreet2>
            <rptOwnerCity>HONG KONG</rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001668029</rptOwnerCik>
            <rptOwnerName>Yu Fan</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>UNIT 3002-3004,30TH FLR,GLOUCESTER TOWER</rptOwnerStreet1>
            <rptOwnerStreet2>THE LANDMARK,15 QUEENS ROAD CENTRAL</rptOwnerStreet2>
            <rptOwnerCity>HONG KONG</rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001668219</rptOwnerCik>
            <rptOwnerName>Li Bin</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>UNIT 3002-3004,30TH FLR,GLOUCESTER TOWER</rptOwnerStreet1>
            <rptOwnerStreet2>THE LANDMARK,15 QUEENS ROAD CENTRAL</rptOwnerStreet2>
            <rptOwnerCity>HONG KONG</rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1681000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Warrant</value>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>1.10</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F4"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1681000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Ally Bridge LB Healthcare Master Fund Limited (the &quot;Master Fund&quot;) directly holds the Common Stock and Warrant.  Ally Bridge LB Management Limited (&quot;LB Management&quot;) owns the sole voting share of the Master Fund. Mr. Fan Yu and Mr. Bin Li are the shareholders and directors of LB Management. LB Management, by virtue of it being the holder of the sole voting share of the Master Fund, and each of Mr. Yu and Mr. Li, by virtue of being a shareholder and director of LB Management, may be deemed to have voting control and investment discretion over the shares held by the Master Fund. Each of LB Management, Mr. Yu and Mr. Li disclaims beneficial ownership of such securities, except to the extent of their pecuniary interest therein, if any. This Form 3 shall not be deemed an admission that any of them are the beneficial owners of, or have any pecuniary interest in, such securities for any purposes.</footnote>
        <footnote id="F2">(Continued from Footnote 1) By virtue of the transactions described in that certain statement on Schedule 13D filed on October 20, 2016, by the Reporting Persons, pursuant to Section 13(d)(3) of the Securities Exchange Act of 1934 (the &quot;Exchange Act&quot;), the Reporting Persons may, based on facts described elsewhere in the Schedule 13D, be considered to be a &quot;group&quot;;  however,  neither the filing of this Form 3 nor any of its contents shall be deemed to constitute an admission by such persons that such a group exists.</footnote>
        <footnote id="F3">The Warrants are exercisable at any time after their original issuance.</footnote>
        <footnote id="F4">The Warrants will expire five years from the date of their original issuance.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Ally Bridge LB Healthcare Master Fund Limited, /s/ Bin Li, Director</signatureName>
        <signatureDate>2016-10-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Ally Bridge LB Management Limited, /s/ Bin Li, Director</signatureName>
        <signatureDate>2016-10-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Fan Yu</signatureName>
        <signatureDate>2016-10-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Bin Li</signatureName>
        <signatureDate>2016-10-24</signatureDate>
    </ownerSignature>
</ownershipDocument>
