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

    <documentType>4</documentType><periodOfReport>2003-12-31</periodOfReport><notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000046989</issuerCik>
        <issuerName>HERCULES INC</issuerName>
        <issuerTradingSymbol>HPC</issuerTradingSymbol></issuer><reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001257330</rptOwnerCik>
            <rptOwnerName>DUFF PATRICK</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>HERCULES PLAZA</rptOwnerStreet1>
            <rptOwnerStreet2>1313 N. MARKET STREET</rptOwnerStreet2>
            <rptOwnerCity>WILMINGTON</rptOwnerCity>
            <rptOwnerState>DE</rptOwnerState>
            <rptOwnerZipCode>19894-0001</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>2003-12-31</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>286.0000</value></transactionShares><transactionPricePerShare><value>12.2000</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value><footnoteId id="F1" /></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>58695.0000</value><footnoteId id="F2" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes><footnote id="F1">Grant of Restricted Stock Units payable in stock which vest in 5 years.</footnote><footnote id="F2">Of these, 4,795 are Restricted Stock Units.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Israel J. Floyd
Acting as Attorney in Fact for Patrick Duff</signatureName><signatureDate>2003-01-05</signatureDate></ownerSignature></ownershipDocument>

