<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
<periodOfReport>2004-01-01</periodOfReport>
<notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000027096</issuerCik>
        <issuerName>DATASCOPE CORP</issuerName>
        <issuerTradingSymbol>DSCP</issuerTradingSymbol>
</issuer>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001227587</rptOwnerCik>
            <rptOwnerName>HELLER GEORGE</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O DATASCOPE CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>14 PHILIPS PARKWAY</rptOwnerStreet2>
            <rptOwnerCity>MONTVALE</rptOwnerCity>
            <rptOwnerState>NJ</rptOwnerState>
            <rptOwnerZipCode>07645</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>1</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>0</isTenPercentOwner>
<isOther>0</isOther>
<officerTitle></officerTitle>
<otherText></otherText>
</reportingOwnerRelationship>
</reportingOwner>
<derivativeTable>
<derivativeTransaction>
<securityTitle>
<value>Stock Option (Right to Buy)</value>
</securityTitle>
<conversionOrExercisePrice>
<value>35.976</value>
<footnoteId id="F1"/>
</conversionOrExercisePrice>
<transactionDate>
<value>2004-01-01</value>
</transactionDate>
<deemedExecutionDate>
</deemedExecutionDate>
<transactionCoding>
<transactionFormType>4</transactionFormType>
<transactionCode>A</transactionCode>
<equitySwapInvolved>0</equitySwapInvolved>
</transactionCoding>
<transactionTimeliness>
<value></value>
</transactionTimeliness>
<transactionAmounts>
<transactionShares>
<value>5000</value>
</transactionShares>
<transactionPricePerShare>
<footnoteId id="F2"/>
</transactionPricePerShare>
<transactionAcquiredDisposedCode>
<value>A</value>
</transactionAcquiredDisposedCode>
</transactionAmounts>
<exerciseDate>
<value>2004-01-01</value>
</exerciseDate>
<expirationDate>
<value>2014-01-01</value>
</expirationDate>
<underlyingSecurity>
<underlyingSecurityTitle>
<value>Common Stock</value>
</underlyingSecurityTitle>
<underlyingSecurityShares>
<value>5000</value>
</underlyingSecurityShares>
</underlyingSecurity>
<postTransactionAmounts>
<sharesOwnedFollowingTransaction>
<value>5000</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature>
<directOrIndirectOwnership>
<value>D</value>
</directOrIndirectOwnership>
<natureOfOwnership>
<value></value>
</natureOfOwnership>
</ownershipNature>
</derivativeTransaction>
</derivativeTable>
<footnotes>
<footnote id="F1">Pursuant to the Non-Employee Director Plan the average closing price of the last ten (10) trading days of the calendar year prior to January 1, 2004.</footnote>
<footnote id="F2">See column 2 for exercise price</footnote>
</footnotes>
<remarks></remarks>
<ownerSignature>
<signatureName>George Heller</signatureName>
<signatureDate>2004-01-05</signatureDate>
</ownerSignature>
</ownershipDocument>

