Exhibit 99.1

Uranium Resources, Inc. Announces Completion of Equity Financing

    DALLAS--(BUSINESS WIRE)--May 14, 2004--Uranium Resources, Inc.
(Pink Sheets:URIX)(the "Company") announced that it has closed the
sale of an additional $1,025,500 of common stock through the issuance
of 6,836,680 shares at a price of $0.15 per share. This closing
completes the private offering previously announced by the Company on
May 3, 2004. The Company will file with the SEC a resale registration
statement for these and other shares in the near future.
    This press release contains "forward-looking statements." These
include, without limitation, statements relating to future mining
plans, production and other such matters. The words "expect,"
"anticipate," "estimate," or "plan" and similar expressions identify
forward-looking statements. Such statements are based on certain
assumptions and analyses made by the Company in light of its
experience and its perception of historical trends, current
conditions, expected future developments and other factors it believes
are appropriate in the circumstances. The Company does not undertake
to update, revise or correct any of the forward-looking information.
Factors that could cause actual results to differ materially from the
Company's expectations expressed in the forward-looking statements
include, but are not limited to, the following: industry conditions;
volatility of uranium prices; operational risks; potential
liabilities, delays and associated costs imposed by government
regulation (including environmental regulation); inability to raise
the funds for the substantial capital expenditures required to fund
operations; and risks related to exploration and developmental
drilling. For a more complete explanation of these various factors,
see "Cautionary Statements" included in the Company's latest Annual
Report on Form 10-KSB filed with the Securities and Exchange
Commission.
    Uranium Resources, Inc. is a Dallas area-based uranium-mining
company whose shares are quoted on the Pink Sheets under the symbol
URIX. The Company specializes in in-situ solution mining and holds
substantial uranium mineralization in South Texas and New Mexico. The
Company's properties have been shut in since July 1999.

    CONTACT: Uranium Resources, Inc., Dallas
             Paul K. Willmott or Thomas H. Ehrlich, 972-219-3330