<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2004-01-07</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000046989</issuerCik><issuerName>HERCULES INC</issuerName>        <issuerTradingSymbol>HPC</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001236561</rptOwnerCik><rptOwnerName>TELEVANTOS JOHN Y</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>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>VP &amp; Pres. Aqualon</officerTitle></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Stock</value></securityTitle><transactionDate><value>2004-01-07</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>15000.0000</value></transactionShares><transactionPricePerShare><value>12.9700</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value><footnoteId id="F1" /></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>68607.0000</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value><footnoteId id="F2" /></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes><footnote id="F1">Grant of Restricted Stock Units which vest on 1/7/09.</footnote><footnote id="F2">Of these, 51,607 are Restricted Stock and 15,000 are Restricted Stock Units.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ John Y. Televantos</signatureName><signatureDate>2004-01-08</signatureDate></ownerSignature></ownershipDocument>

