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 June 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


August 12, 2003

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