<?xml version="1.0"?><ownershipDocument>
    <schemaVersion>X0101</schemaVersion>

    <documentType>4</documentType><periodOfReport>2003-05-28</periodOfReport>
    <issuer>
        <issuerCik>0000202058</issuerCik>
        <issuerName>HARRIS CORP /DE/</issuerName>
        <issuerTradingSymbol>HRS</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId>
            <rptOwnerCik>0001220678</rptOwnerCik>
            <rptOwnerName>HENRY ROBERT K</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>  </rptOwnerStreet1>
            <rptOwnerStreet2>  </rptOwnerStreet2>
            <rptOwnerCity>  </rptOwnerCity>
            <rptOwnerState>  </rptOwnerState>
            <rptOwnerZipCode>  </rptOwnerZipCode>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>Sr VP &amp; Pres. - GCSD</officerTitle><otherText></otherText></reportingOwnerRelationship></reportingOwner><derivativeSecurity><securityTitle><value>Phantom Stock Units</value></securityTitle><conversionOrExercisePrice><value>0</value><footnoteId id="F1" /></conversionOrExercisePrice><transactionDate><value>2003-05-28</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>12.81</value></transactionShares><transactionValue><value>30.03</value></transactionValue><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>1988-08-08</value><footnoteId id="F2" /></exerciseDate><expirationDate><value>1988-08-08</value><footnoteId id="F2" /></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock, Par Value $1.00</value></underlyingSecurityTitle><underlyingSecurityShares><value>12.81</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>1443.05</value><footnoteId id="F3" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeSecurity><footnotes><footnote id="F1">Convertible on a 1-for-1 basis.</footnote><footnote id="F2">Reported phantom stock units acquired (in an exempt transaction) under Harris Corporation's Supplemental Executive Retirement Plan and will be settled in cash following the reporting person's retirement, termination of service, or other specified events.</footnote><footnote id="F3">The aggregate of 1,443.05 phantom stock units includes 3.80 stock units acquired through dividend reinvestment in Harris Corporation's Supplemental Executive Retirement Plan on 5/28/03 and a reduction of 1.25 units to reflect "rounding" of prior reports from the plan's record keeper.</footnote></footnotes><ownerSignature><signatureName>By: /s/ Carol H. Tumser, Attorney-in-Fact,
For: Robert K. Henry</signatureName><signatureDate>2003-05-29</signatureDate></ownerSignature></ownershipDocument>

