-----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,
 E2WVR5LcAyCjv5te2m2KV7Q7488dChL2WZHiKcU6YPdW5XKObZKcE2ICCkGIbIQz
 JMQ+/LuB62WDYMQEiAWAog==

<SEC-DOCUMENT>0001209191-05-050450.txt : 20051004
<SEC-HEADER>0001209191-05-050450.hdr.sgml : 20051004
<ACCEPTANCE-DATETIME>20051004160412
ACCESSION NUMBER:		0001209191-05-050450
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20051003
FILED AS OF DATE:		20051004
DATE AS OF CHANGE:		20051004

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:			RIEDERER RICHARD K
		CENTRAL INDEX KEY:			0001009970
		STANDARD INDUSTRIAL CLASSIFICATION:	STEEL WORKS, BLAST FURNACES  ROLLING MILLS (COKE OVENS) [3312]
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-08944
		FILM NUMBER:		051121767

	BUSINESS ADDRESS:	
		STREET 1:		C/O WEIRTON STEEL CORP
		STREET 2:		400 THREE SPRINGS DR
		CITY:			WEIRTON
		STATE:			WV
		ZIP:			26062
		BUSINESS PHONE:		3047972000

	MAIL ADDRESS:	
		STREET 1:		5 W35020 MANOR HOUSE ROAD
		CITY:			OCONOMOWAC
		STATE:			WI
		ZIP:			53066
</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>2005-10-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001009970</rptOwnerCik>
            <rptOwnerName>RIEDERER RICHARD K</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>S25 W35020 MANOR HOUSE RD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>OCONOMOWAC</rptOwnerCity>
            <rptOwnerState>WI</rptOwnerState>
            <rptOwnerZipCode>53066</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4888.592</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-10-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>43.049</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>87.11</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>43.049</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1722.6805</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On July 12, 2005, Cleveland-Cliffs Inc declared a dividend of $.20 per share, payable to all holders of record as of August 12, 2005 of common stock payable on September 1, 2005.  The amount shown reflects 12.139 shares acquired pursuant to a dividend reinvestment election under the Nonemployee Directors' Compensation Plan (&quot;Plan&quot;).</footnote>
        <footnote id="F2">Convertible into Common Shares on a 1-for-1 basis.</footnote>
        <footnote id="F3">Reflects number of Common Shares underlying deferred compensation credited to the account of the Reporting Person in payment of the Reporting Person's Required Quarterly Retainer for the fourth quarter of 2004 under the Plan. Each Stock Unit is generally distributable following termination of service as a Director.</footnote>
        <footnote id="F4">On July 12, 2005, Cleveland-Cliffs Inc declared a dividend of $.20 per share, payable to all holders of record as of August 12, 2005 of common stock payable on September 1, 2005.  The amount shown reflects 3.4158 shares acquired and deferred pursuant to a dividend reinvestment election under the Plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>George W. Hawk, Jr.
by Power of Attorney</signatureName>
        <signatureDate>2005-10-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----