United States Steel (X) 10-Q 2005 Q2 Quarterly report

Exhibit 32.2

CHIEF FINANCIAL OFFICER

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350

I, Gretchen R. Haggerty, Executive Vice President and Chief Financial Officer of United States Steel Corporation, certify that:

(1) The Quarterly Report on Form 10-Q of United States Steel Corporation for the period ending June 30, 2005, 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 foregoing report fairly presents, in all material respects, the financial condition and results of operations of United States Steel Corporation.

/s/ Gretchen R. Haggerty

    Gretchen R. Haggerty

    Executive Vice President and
Chief Financial Officer

July 29, 2005

A signed original of this written statement required by Section 906 of the Sarbanes-Oxley Act of 2002 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.