<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-08-29</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000824169</issuerCik><issuerName>NEXTEL COMMUNICATIONS INC</issuerName>        <issuerTradingSymbol>NXTL</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001174708</rptOwnerCik><rptOwnerName>SHERN STEPHANIE M</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>2001 EDMUND HALLEY DRIVE</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>RESTON</rptOwnerCity><rptOwnerState>VA</rptOwnerState><rptOwnerZipCode>20191</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>Non-Qualified Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>19.33</value></conversionOrExercisePrice><transactionDate><value>2003-08-29</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>2500</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F1" /></exerciseDate><expirationDate><value>2013-08-29</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Class A Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>2500</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>2500</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">Options granted quarterly and vest at the next nonaffiliate director quarterly grant date.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Stephanie Shern</signatureName><signatureDate>2003-09-03</signatureDate></ownerSignature></ownershipDocument>

