Exhibit 32.2


                             CHIEF FINANCIAL OFFICER
                            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 United States Steel Corporation
(the "Corporation") on Form 10-Q for the period ending September 30, 2003 as
filed with the Securities and Exchange Commission on the date hereof (the
"Report"), I, Gretchen R. Haggerty, Executive Vice President, Treasurer and
Chief Financial Officer of the Corporation, certify, pursuant to 18 U.S.C.
Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of
2002, that:

     (1)  The Report fully complies with the requirements of section 13(a) or
          15(d) of the Securities Exchange Act of 1934; and

     (2)  The information contained in the Report fairly presents, in all
          material respects, the financial condition and results of operations
          of the Corporation.


         /s/ Gretchen R. Haggerty
         ------------------------
          Gretchen R. Haggerty
           Executive Vice President, Treasurer
           and Chief Financial Officer


November 7, 2003

A signed original of this written statement required by Section 906 has been
provided to United States Steel Corporation and will be retained by United
States Steel Corporation and furnished to the Securities and Exchange Commission
or its staff upon request.