PROSPECTUS  SUPPLEMENT NO. 1             FILED PURSUANT TO RULE 424(B)(3)AND (C)
(TO THE PROSPECTUS DATED JUNE 21, 2004)           REGISTRATION  NO. 333-115477

                                U.S. ENERGY CORP.
                        5,552,283 SHARES OF COMMON STOCK

     This  prospectus  supplement supplements the prospectus dated June 21, 2004
of  U.S.  Energy  Corp.  ("USE")  relating  to  the public offer and sale by the
selling  shareholders of up to 2,113,573 shares of common stock by shareholders;
up  to  1,472,689  shares  of common stock by holders of warrants and options on
exercise  thereof;  up  to  1,720,030  shares which may be issued on exchange of
outstanding  common  stock,  and  preferred  stock,  in Rocky Mountain Gas, Inc.
("RMG,"  a  majority-owned subsidiary of USE) for common stock of USE; and up to
245,991  shares  which  may be issued on conversion of principal and interest on
debt.

     This  prospectus  supplement  should  be  read  in  conjunction  with  the
prospectus,  and  this  prospectus  supplement  is qualified by reference to the
prospectus,  except  to  the  extent  that  the  information  provided  by  this
prospectus  supplement  supersedes  the information contained in the prospectus.

     SEE  "RISK  FACTORS" BEGINNING ON PAGE 8 OF THE PROSPECTUS AND THE TABLE OF
CONTENTS  ON  PAGE  2  OF  THE  PROSPECTUS.

     NEITHER  THE  SECURITIES  AND  EXCHANGE COMMISSION NOR ANY STATE SECURITIES
COMMISSION  HAS  APPROVED OR DISAPPROVED OF THE SECURITIES OR DETERMINED IF THIS
PROSPECTUS  SUPPLEMENT  IS  TRUTHFUL  OR  COMPLETE.  ANY  REPRESENTATION  TO THE
CONTRARY  IS  A  CRIMINAL  OFFENSE.

                  The date of this prospectus is August 18, 2004

                       ----------------------------------

     On  July  30,  2004,  USE  entered  into a credit agreement with Geddes and
Company  (the  "lender"), based in Phoenix, Arizona, to borrow up to $3 million,
of  which  $1.5  million was loaned on August 18, 2004. Proceeds will be used to
acquire  and  develop  gas properties, and for general corporate purposes of the
company  and  its  subsidiary  RMG.

     Terms  of  the  transaction  are:

     X    The total amount available under the credit agreement is $3.0 million.
          Amounts in addition to the initial $1.5 million loan will be available
          to  us until August 1, 2006. Out of the initial loan proceeds, we paid
          the  lender  a  commitment  fee  of  $90,000  (3%  of  the  $3 million
          commitment).

     X    All  amounts  loaned  under  the  agreement  are  secured  by security
          interests in the following collateral: (1) a first position in (a) the
          promissory  note  and  mortgage received in 2003 from the buyer of our
          commercial  properties  in  Ticaboo,  Utah ($3,081,014  outstanding at
          June  30,  2004;  (b)  the  coalbed  methane leases in the Castle Rock
          property  (located  in  the Montana portion of the Powder River Basin)
          held by RMG; and (c) 4 million shares of common stock which we hold in
          RMG; and (2) a second position on our corporate airplane. However, all
          proceeds  of sale of any of this collateral by the lender in the event
          of  foreclosure will be applied to amounts owed the lender; we will be
          entitled  to  any  surplus  proceeds or collateral remaining after the
          lender  has  been  paid  in  full.

     X    All  loans mature on the sooner to occur of August 1, 2006 or the date
          when  RMG  has  a  class  of  stock registered with the Securities and
          Exchange  Commission.  Annual  interest at 10% on amounts loaned under
          the  credit  agreement is payable on the first business day after each
          quarter,  beginning  October  1,  2004.


                                        1



     X    Prepayment  of  loans  is  permitted  without  penalty. Payment before
          maturity  is  mandatory   from  money  received  from   settlement  or
          enforcement  of  any  judgment entered  upon our claims against Nukem,
          Inc.,  and  from  proceeds  from sale or disposition of any collateral
          securing  the  loans.  Upon  receipt  of our notice of prepayment, the
          lender  may convert some or all of the prepayment amount to restricted
          shares  of common stock of RMG, at a price equal to the exercise price
          of  the  warrants  (see  below).

     X    At any time, in connection with an intended prepayment of the loans or
          otherwise,  the  lender  has  the  right to convert some or all of the
          outstanding  loans  to  restricted  shares  of common stock at a price
          equal  to  the  exercise  price  of  the  warrants.

     X    Outstanding   interest  and   principal  on  the  loans  will   become
          immediately  due  and  payable in the event we fail to pay interest or
          principal  when due, or there is a default in performance of any other
          agreement  contained in the transaction documents which is uncured for
          20  days,  or  we  become  insolvent  or  bankrupt.

     X    In  connection with the credit agreement, RMG agreed to issue warrants
          to  the  lender  to purchase up to 600,000 restricted shares of common
          stock  of  RMG:

          *    All  warrants  will  expire  on the fifth anniversary of the date
               when  RMG  has  sold  $20  million  of its securities in a future
               offering;  however,  the  warrants  will not be exercisable after
               July  30,  2019  in  any  event.

          *    Warrants to purchase 450,000 shares of RMG common stock have been
               issued  to the lender in connection with the initial $1.5 million
               loan,  at  initial  exercise prices of $3.00 per share on 225,000
               shares;  $3.25  per  share  on  75,000 shares; $3.50 per share on
               75,000 shares; and $3.75 on 75,000 shares. No additional warrants
               will  be  issued  until  we  borrow  more  than  $2  million.

               -    At  such  time  as  we borrow more than $2 million, RMG will
                    issue  warrants  to purchase an additional 150,000 shares of
                    RMG  common  stock,  at initial exercise prices of $3.00 per
                    share  on  75,000  shares; $3.25 per share on 25,000 shares;
                    $3.50  per  share  on  25,000  shares;  and  $3.75 on 25,000
                    shares.  This  number of additional warrants will not be pro
                    rated  down  if we borrow more than $2 million but less than
                    the  full  $3  million available under the credit agreement.

               -    The  initial  exercise  price of the outstanding warrants to
                    purchase  225,000  shares  which  have  been issued, and the
                    initial  exercise price of 75,000 of the additional warrants
                    which  may  be  issued  to the lender in the future, will be
                    adjusted  down  to  equal  to  the lowest purchase price per
                    share actually paid to and received by RMG from investors in
                    a  future  offering. In addition, in that event, the initial
                    exercise  prices  of  $3.25  to $3.75 for the balance of the
                    outstanding  warrants  on  225,000  shares  (and  the  same
                    exercise  prices for the warrants on 75,000 shares which may
                    be  issued  if  we borrow more than $2 million), all will be
                    adjusted  down  proportionately.

               -    Terms  of  a  future  RMG  financing(s)  which would set the
                    expiration  date  of  the  warrants,  and  possibly  cause
                    adjustments  to  initial  exercise  prices)  have  not  been
                    determined.

          *    Neither  the company or RMG is required by the lender to maintain
               or achieve any ratios of financial liquidity or quantities of gas
               reserves  or  production,  or  similar  matters.


                          End of Prospectus Supplement


                                        2