Exhibit 32(a)

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

      In connection with the Quarterly Report of Cleveland-Cliffs Inc (the
"Company") on Form 10-Q for the period ended June 30, 2004 as filed with the
Securities and Exchange Commission on the date hereof (the "Form 10-Q"), I, John
S. Brinzo, Chairman, President and Chief Executive Officer of the Company,
certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906
of the Sarbanes-Oxley Act of 2002, that, to such officer's knowledge:

      (1)   The Form 10-Q fully complies with the requirements of Section 13(a)
            or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m or
            78o(d)); and

      (2)   The information contained in the Form 10-Q fairly presents, in all
            material respects, the financial condition and results of operations
            of the Company as of the dates and for the periods expressed in the
            Form 10-Q.

Date: July 29, 2004

/s/ John S. Brinzo
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John S. Brinzo
Chairman, President and Chief
Executive Officer