<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-12-23</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000807884</issuerCik><issuerName>CASH AMERICA INTERNATIONAL INC</issuerName>        <issuerTradingSymbol>PWN</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001184919</rptOwnerCik><rptOwnerName>BROCKMAN ROBERT D</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>1600 W. 7TH STREET</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>FORT WORTH</rptOwnerCity><rptOwnerState>TX</rptOwnerState><rptOwnerZipCode>76102</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>Exec. VP - Administration</officerTitle></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>Restricted Stock Units</value><footnoteId id="F1" /></securityTitle><conversionOrExercisePrice><footnoteId id="F2" /></conversionOrExercisePrice><transactionDate><value>2003-12-22</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>11405.0000</value></transactionShares><transactionPricePerShare><footnoteId id="F2" /></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F1" /></exerciseDate><expirationDate><footnoteId id="F1" /></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>11405.0000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>152207.0000</value><footnoteId id="F3" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">These Restricted Stock Units vest in equal annual increments for fifteen years after the grant date and convert into the vested number of shares of Common Stock upon the Reporting Person's termination of employment for any reason other than for cause.  Univested shares are forfeited upon termination of employment, other than for cause, and all options are forfeited upon termination for cause.</footnote><footnote id="F2">Not applicable.</footnote><footnote id="F3">Includes 140,802 stock options for the right to buy Common Stock.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/  Robert D. Brockman</signatureName><signatureDate>2004-01-07</signatureDate></ownerSignature></ownershipDocument>

