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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 TCF7MvDGhtkzOT0PCxtXJUVuOizKnCbXazt5TQLsQVD5qbbqMEtjGIpW4f3RTj+T
 tnPvfbi0UdP56k+jsfIiUQ==

<SEC-DOCUMENT>0001209191-04-004103.txt : 20040122
<SEC-HEADER>0001209191-04-004103.hdr.sgml : 20040122
<ACCEPTANCE-DATETIME>20040122155816
ACCESSION NUMBER:		0001209191-04-004103
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040120
FILED AS OF DATE:		20040122

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			LANCE HOWARD L
		CENTRAL INDEX KEY:			0001220679

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-03863
		FILM NUMBER:		04537373

	MAIL ADDRESS:	
		STREET 1:		HARRIS CORPORATION
		STREET 2:		1025 W. NASA BOULEVARD
		CITY:			MELBOURNE
		STATE:			FL
		ZIP:			32919

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			HARRIS CORP /DE/
		CENTRAL INDEX KEY:			0000202058
		STANDARD INDUSTRIAL CLASSIFICATION:	SEARCH, DETECTION, NAVIGATION, GUIDANCE, AERONAUTICAL SYS [3812]
		IRS NUMBER:				340276860
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0630

	BUSINESS ADDRESS:	
		STREET 1:		1025 W NASA BLVD
		CITY:			MELBOURNE
		STATE:			FL
		ZIP:			32919
		BUSINESS PHONE:		3217279100

	MAIL ADDRESS:	
		STREET 1:		1025 W NASA BLVD
		CITY:			MELBOURNE
		STATE:			FL
		ZIP:			32919

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	HARRIS SEYBOLD CO
		DATE OF NAME CHANGE:	19600201
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2004-01-20</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000202058</issuerCik><issuerName>HARRIS CORP /DE/</issuerName>        <issuerTradingSymbol>HRS</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001220679</rptOwnerCik><rptOwnerName>LANCE HOWARD L</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>CORPORATE HEADQUARTERS</rptOwnerStreet1><rptOwnerStreet2>1025 W. NASA BOULEVARD</rptOwnerStreet2><rptOwnerCity>MELBOURNE</rptOwnerCity><rptOwnerState>FL</rptOwnerState><rptOwnerZipCode>32919</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>Chairman, President, and CEO</officerTitle></reportingOwnerRelation
ship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Stock, Par Value $1.00</value></securityTitle><transactionDate><value>2004-01-20</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>F</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>8854.0000</value><footnoteId id="F1" /></transactionShares><transactionPricePerShare><value>47.5500</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>106211.9700</value><footnoteId id="F2" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature>
</nonDerivativeTransaction></nonDerivativeTable><footnotes><footnote id="F1">Shares withheld by company to pay tax liability on vesting of restricted shares previously awarded.</footnote><footnote id="F2">Aggregate of 106,211.97 shares listed in Column 5 of Table I includes:  (a) 66,666 restricted shares previously reported and subject to vesting; (b) 15,000 performance shares previously reported and subject to adjustment; and (c) 11.31 shares acquired through a contribution and dividend reinvestment in the Harris Corporation 401(k) Retirement Plan from 9/3/03 through 1/7/04.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Howard L. Lance</signatureName><signatureDate>2004-01-22</signatureDate></ownerSignature></ownershipDocument>

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