Exhibit 32.2

URANIUM RESOURCES, INC.
650 S. Edmonds Lane, Suite 108, Lewisville, TX 75067
972.219.3330 Phone 972.219.3311 Fax

May 14, 2004

Securities and Exchange Commission
450 5^th Street, N.W.
Washington, D.C. 20549

CERTIFICATION OF CHIEF FINANCIAL OFFICER
PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, Thomas H. Ehrlich, Vice President—Finance and Chief Financial Officer of Uranium Resources, Inc. (the "Company"), certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:

(1)

The Quarterly Report on Form 10-Q of the Company for the period ended March 31, 2004 which this certification accompanies 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 Company.

/s/  THOMAS H. EHRLICH Thomas H. Ehrlich
Vice President and Chief Financial Officer
May 14, 2004