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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
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 d7l2w4LQgPlOr9qLPBStXg==

<SEC-DOCUMENT>0001209191-06-040072.txt : 20060706
<SEC-HEADER>0001209191-06-040072.hdr.sgml : 20060706
<ACCEPTANCE-DATETIME>20060706122904
ACCESSION NUMBER:		0001209191-06-040072
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20060703
FILED AS OF DATE:		20060706
DATE AS OF CHANGE:		20060706

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

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			CUNNINGHAM SUSAN M
		CENTRAL INDEX KEY:			0001197220

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-08944
		FILM NUMBER:		06947042

	BUSINESS ADDRESS:	
		STREET 1:		350 GLENBOROUGH DRIVE
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77067
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2006-07-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000764065</issuerCik>
        <issuerName>CLEVELAND CLIFFS INC</issuerName>
        <issuerTradingSymbol>CLF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001197220</rptOwnerCik>
            <rptOwnerName>CUNNINGHAM SUSAN M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1100 SUPERIOR AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>15TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>CLEVELAND</rptOwnerCity>
            <rptOwnerState>OH</rptOwnerState>
            <rptOwnerZipCode>44114</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>2006-07-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>94.5895</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>39.645</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1595.3967</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Reflects number of Common Shares credited to the account of the Reporting Person in payment of the Reporting Person's Required Quarterly Retainer for the third quarter of 2006 under the Cleveland-Cliffs Inc Nonemployee Directors Compensation Plan.  Full shares earned in 2006 will be issued effective the first business day in 2007.</footnote>
        <footnote id="F2">On January 11, 2006, Cleveland-Cliffs Inc (the &quot;Company&quot;) declared a dividend of $.20 per share, payable to all holders of record as of February 15, 2006 of common stock payable on March 1, 2005.  The amount shown reflects .088 shares acquired pursuant to a Dividend Reinvestment and Stock Purchase Plan for the Company's Common Stock (&quot;Reinvestment Plan&quot;).  On May 9, 2006, the Company declared a dividend of $.25 per share, payable to all holders of record as of May 19, 2006 of common stock payable on June 1, 2006.  The amount shown reflects .136 shares acquired pursuant to the Reinvestment Plan.  The total beneficial ownership also reflects the Company's 2-for-1 stock split on June 30, 2006, which resulted in the reporting person's receiving 750.4036 additional shares.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>George W. Hawk, Jr. by Power of Attorney</signatureName>
        <signatureDate>2006-07-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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