<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-12-31</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000949039</issuerCik><issuerName>DIAMOND OFFSHORE DRILLING INC</issuerName>        <issuerTradingSymbol>DO</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001249089</rptOwnerCik><rptOwnerName>LONG WILLIAM C</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>15415 KATY FREEWAY</rptOwnerStreet1><rptOwnerStreet2>SUITE 100</rptOwnerStreet2><rptOwnerCity>HOUSTON</rptOwnerCity><rptOwnerState>TX</rptOwnerState><rptOwnerZipCode>77094</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>VP, General Counsel, Secretary</officerTitle></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>20.7700</value></conversionOrExercisePrice><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>1250.0000</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>2004-04-22</value><footnoteId id="F1" /></exerciseDate><expirationDate><value>2013-12-31</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>1250.0000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>1250.0000</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">The options vest in four equal annual installments beginning on April 22, 2004.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ William C. Long</signatureName><signatureDate>2004-01-05</signatureDate></ownerSignature></ownershipDocument>

