UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
                                  _____________

                                    FORM 8-K

                                 CURRENT REPORT
                     Pursuant to Section 13 or 15(d) of the
                         Securities Exchange Act of 1934

         Date of Report (Date of earliest event reported): May 14, 2004


                             URANIUM RESOURCES, INC.
                             -----------------------
             (Exact name of registrant as specified in its charter)

          Delaware                       0-17171                 75-2212772
          --------                       -------                 ----------
(State or other jurisdiction     (Commission File Number)     (I.R.S. Employer
        of incorporation)                                    Identification No.)



650 South Edmonds, Suite 108, Lewisville, TX                       75067
  (Address of principal executive offices)                        Zip Code


                                 (972) 219-3330
                                 --------------
              (Registrant's telephone number, including area code)





          (Former name or former address, if changed since last report)




              Exhibit Index Begins on Sequentially Numbered Page 4



Item 5.  Other Events and Regulation FD Disclosure.

     On May 14, 2004 the  Registrant  issued a press  release that  announced an
equity  financing that has raised and additional  $1,025,500 for the issuance of
6,836,680 shares of common stock at $0.15 per share.

Item 7.    Financial Statements and Exhibits

            (c)  Exhibits.

                 99.1 -   Press Release issued May 14, 2004, by the Registrant.

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                                   SIGNATURES


     Pursuant to the  requirements  of the Securities  Exchange Act of 1934, the
Registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned thereunto duly authorized.

                                                   URANIUM RESOURCES, INC.




Date:    May 14, 2004                     /s/ Paul K. Willmott
                                          --------------------------------------
                                          Paul K. Willmott
                                          President, Chief Executive Officer
                                          and Chairman of the Board of Directors

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                                  EXHIBIT INDEX



Exhibit No.                    Exhibit Description                          Page
-----------                    -------------------                          ----

   99.1               Press Release issued May 14, 2004,                     E-1
                      by the Registrant.


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