<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-10-29</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0001069183</issuerCik><issuerName>TASER INTERNATIONAL INC</issuerName>        <issuerTradingSymbol>TASR</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001167029</rptOwnerCik><rptOwnerName>CULVER BRUCE R</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>7860 EAST MCCLAIN DRIVE #2</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>SCOTTSDALE</rptOwnerCity><rptOwnerState>AZ</rptOwnerState><rptOwnerZipCode>85260</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>2003-10-29</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>S</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>10000</value></transactionShares><transactionPricePerShare><value>62.405</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>150218</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeTransaction><securityTitle><value>Common Stock</value></securityTitle><transactionDate><value>2003-10-29</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>S</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>10000</value></transactionShares><transactionPricePerShare><value>62.4</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>140218</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes></footnotes><remarks></remarks><ownerSignature><signatureName>/s/Bruce R. Culver, by Kathleen C. Hanrahan, Attorney-in-Fact</signatureName><signatureDate>2003-10-30</signatureDate></ownerSignature></ownershipDocument>

