-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 LAcuL3UEIliIamcen7g6euBHljz54apXO7n+A63heO3iS1cBsSHD8ugdu4YUla21
 yABYfcTkrf0PkMtK1wROTQ==

<SEC-DOCUMENT>0001209191-03-025341.txt : 20031010
<SEC-HEADER>0001209191-03-025341.hdr.sgml : 20031010
<ACCEPTANCE-DATETIME>20031010150033
ACCESSION NUMBER:		0001209191-03-025341
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20031010
FILED AS OF DATE:		20031010

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			MCALLISTER FRANCIS R
		CENTRAL INDEX KEY:			0001095349
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-08944
		FILM NUMBER:		03936902

	BUSINESS ADDRESS:	
		STREET 1:		C/O ASARCO INC
		STREET 2:		180 MAIDEN LANE
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10038
		BUSINESS PHONE:		4089875920

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			CLEVELAND CLIFFS INC
		CENTRAL INDEX KEY:			0000764065
		STANDARD INDUSTRIAL CLASSIFICATION:	METAL MINING [1000]
		IRS NUMBER:				341464672
		STATE OF INCORPORATION:			OH
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		1100 SUPERIOR AVE 18TH FLR
		CITY:			CLEVELAND
		STATE:			OH
		ZIP:			44114
		BUSINESS PHONE:		2166945700

	MAIL ADDRESS:	
		STREET 1:		100 SUPERIOR AVE
		STREET 2:		18TH FLOOR
		CITY:			CLEVELAND
		STATE:			OH
		ZIP:			44114
</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>2003-10-10</periodOfReport><notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000764065</issuerCik>
        <issuerName>CLEVELAND CLIFFS INC</issuerName>
        <issuerTradingSymbol>CLF</issuerTradingSymbol></issuer><reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001095349</rptOwnerCik>
            <rptOwnerName>MCALLISTER FRANCIS R</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>536 EAST PIKE</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 1330</rptOwnerStreet2>
            <rptOwnerCity>COLUMBUS</rptOwnerCity>
            <rptOwnerState>MT</rptOwnerState>
            <rptOwnerZipCode>53019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>Stock Units</value></securityTitle><conversionOrExercisePrice><footnoteId id="F1" /></conversionOrExercisePrice><transactionDate><value>2003-10-10</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved><footnoteId id="F2" /></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>37.8501</value></transactionShares><transactionPricePerShare><value>26.42</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F2" /></exerciseDate><expirationDate><footnoteId id="F2" 
/></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Shares</value></underlyingSecurityTitle><underlyingSecurityShares><value>37.8501</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>13035.0097</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">Converted common stock on a 1-for-1 basis.</footnote><footnote id="F2">Reflects number of Common Shares underlying deferred compensation credited to the account of the Reporting Person in payment of 100% of the Reporting Person's Meeting Fees under the Cleveland-Cliffs Inc Nonemployee Directors Compensation Plan.  Each Stock Unit is generally distributable following termination of service as a Director.

</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ John E. Lenhard, by power of atty.</signatureName><signatureDate>2003-10-10</signatureDate></ownerSignature></ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----