Void After 12:00 O'clock Midnight., Mountain Time, on December 2, 2000

                      WARRANT TO PURCHASE 225,000 COMMON SHARES

                                  U.S. ENERGY CORP.

               This  is  to  Certify  That,  FOR  VALUE  RECEIVED,  SUNRISE
          FINANCIAL GROUP of 135 East 57th Street, 11th Floor, New York, NY
          10022  ("Holder"),  is  entitled  to  purchase,  subject  to  the
          provisions   of  this  Warrant,  from  U.S.  ENERGY  CORP.   (the
          "Company"), a  Wyoming  corporation,  at  any  time  until  12:00
          O'clock Midnight, Mountain Time, on December 2, 2000 ("Expiration
          Date"), 225,000 Common Shares of the Company at a price of $10.50
          per  share, the ("Purchase Price") during the period this Warrant
          is exercisable.

               (a)  Exercise  of Warrant.  This Warrant may be exercised at
          any time or from time to time until the Expiration Date or if the
          Expiration  Date is a  day  on  which  banking  institutions  are
          authorized by law to close, then on the next succeeding day which
          shall not be  such a day, by presentation and surrender hereof to
          the Company or at the office of its stock transfer agent, if any,
          with  the  Purchase   Form   annexed  hereto  duly  executed  and
          accompanied by payment of the  Purchase  price  for the number of
          shares specified in such Form.  The Company agrees  not to merge,
          reorganize  or take any action that would terminate this  Warrant
          unless provisions are made as part of such merger, reorganization
          or other action  which  would provide the holders of this Warrant
          with an equivalent of this  Warrant  as  specified in Section (i)
          hereof;  provided, however, that if reasonably  required  by  the
          other party  or  parties  to such merger, reorganization or other
          action, the Company may accelerate  the Expiration Date to a date
          prior to such merger, reorganization  or  other  action, provided
          further, however, that the Company shall give the  Holder written
          notice  of  such  acceleration  at  least  30 days prior to  such
          accelerated  Expiration  Date.   The  Company agrees  to  provide
          notice to the Holder that any tender offer  is being made for the
          Company's Common Shares no later than three business  days  after
          the  day the Company becomes aware that any tender offer is being
          made for  outstanding Common Shares of the Company.  Upon receipt
          by the Company of this Warrant at the office of the Company or at
          the office  of the Company's stock transfer agent, in proper form
          for exercise  and  accompanied  by the Purchase Price, the Holder
          shall be deemed to be the holder  of  record of the Common Shares
          issuable  upon  such  exercise, notwithstanding  that  the  stock
          transfer  books of the Company  shall  then  be  closed  or  that
          certificates  representing  such  common Shares shall not then be
          actually delivered to the Holder.

               (b)  Reservation of Shares.  The  Company agrees that at all
          times  there  shall be reserved for issuance  and  delivery  upon
          exercise of this Warrant such number of Common Shares as shall be
          required for issuance or delivery upon exercise of this Warrant.

               (c)  Substitution  or  Replacement of Warrant.  This Warrant
          may be divided or combined with  up  to  ten other Warrants which
          carry the same rights upon presentation hereof  at  the office of
          the Company or at the office of its stock transfer agent, if any,
          together   with   a  written  notice  specifying  the  names  and
          denominations in which  new  Warrants are to be issued and signed
          by the


          Holder  hereof.  Not withstanding  the  foregoing,  this  Warrant
          shall not be  divided  in such manner that there are, at any time
          that  this Warrant is outstanding,  more than ten Holders of this
          Warrant  and  any  other  Warrants  that  carry  the  same rights
          as this Warrant.  The term "Warrant" as used  herein includes any
          warrants  issued  in  substitution  for  or replacement  of  this
          Warrant, or into which this Warrant may be  divided or exchanged.
          Upon receipt by the Company of evidence satisfactory to it of the
          loss, theft, destruction or mutilation of this  Warrant,  and (in
          the   case   of   loss,   theft  or  destruction)  of  reasonably
          satisfactory indemnification, and upon surrender and cancellation
          of  this Warrant, if mutilated,  the  Company  will  execute  and
          deliver  a  new  Warrant of like tenor and date.  Subject to such
          right of indemnification,  any  such  new  Warrant  executed  and
          delivered  shall  constitute an additional contractual obligation
          on the part of the  Company, whether or not this Warrant so lost,
          stolen, destroyed, or  mutilated shall be at any time enforceable
          by anyone.

               (d)  Rights of the  Holder.  The Holder shall not, by virtue
          hereof,  be  entitled to any  rights  of  a  shareholder  in  the
          Company, either  at  law  or equity, and the rights of the Holder
          are  limited  to those expressed  in  the  warrant  and  are  not
          enforceable against  the  Company  except to the extent set forth
          herein.

               (e)  Notices to Holder.  So long  as  this  Warrant shall be
          outstanding  and  unexercised  (i) if the Company shall  pay  any
          dividend or make any distribution  upon the Common Shares or (ii)
          if the Company shall offer to the holders  of  Common  Shares for
          subscription or purchase by them any shares of stock of any class
          or any other rights or (iii) if any capital reorganization of the
          Company,  reclassification  of  the capital stock of the Company,
          consolidation  or  merger of the Company  with  or  into  another
          corporation, sale, lease, or transfer of all or substantially all
          of the property and assets of the Company to another corporation,
          or voluntary or involuntary  dissolution,  liquidation or winding
          up of the Company shall be effected, then, in  any such case, the
          Company shall cause to be delivered to the Holder,  at  least  10
          days prior to the date specified in (x) or (y) below, as the case
          may  be,  a notice containing a brief description of the proposed
          action and  stating the date on which (x) a record is to be taken
          for the purpose  of such dividend, distribution or rights, or (y)
          such  reclassification,   reorganization,  consolidation,  merger
          conveyance, lease, dissolution,  liquidation  or winding up is to
          take place and the date, if any is to be fixed,  as  of which the
          holders of Common Shares of record shall be entitled to  exchange
          their  Common Shares for securities or other property deliverable
          upon  such   reclassification,   reorganization,   consolidation,
          merger, conveyance, dissolution, liquidation or winding up.

               (f)  Reclassification, Reorganization or Merger.  Subject to
          the  last  sentence  of  this  subsection  (f),  in  case of  any
          reclassification,  capital  reorganization  or  other  change  of
          outstanding Common Shares of the Company (other than a change  in
          par  value,  or  from  par  value to no par value, or from no par
          value  to par value, or as a result  of  an  issuance  of  Common
          Shares  by  way  of  dividend  or  other  distribution  or  of  a
          subdivision  or  combination), or in case of any consolidation or
          merger of the Company  with  or  into  another corporation (other
          than a merger with a subsidiary in which  merger  the  Company is
          the  continuing  corporation  and  which  does not result in  any
          reclassification,  capital  reorganization  or  other  change  of
          outstanding Common Shares of the class issuable  upon exercise of
          this  Warrant)  or in case of any sale or conveyance  to  another
          corporation


          of the  property  of  the  Company  as an entirety or
          substantially  as an entirety, the Company shall cause  effective
          provision to be  made  so  that  the  Holder shall have the right
          thereafter, by exercising this Warrant,  to purchase the kind and
          amount of shares of stock and other securities and property which
          the  Holder  would  have  received  upon  such  reclassification,
          capital  reorganization  or other change, consolidation,  merger,
          sale or conveyance had this  Warrant  been exercised prior to the
          consummation  of  such  transaction.  Any  such  provision  shall
          include  provision  for  adjustments   which   shall   be  nearly
          equivalent as may be practicable to the adjustments provided  for
          in  this  Warrant.   The foregoing provisions of this Section (f)
          shall similarly apply  to  successive  reclassifications, capital
          reorganizations and changes of common Shares  and  to  successive
          consolidations, mergers, sales or conveyances.  In the event  the
          Company   spins   off   a   subsidiary  by  distributing  to  the
          shareholders of the Company as  a dividend or otherwise the stock
          of the subsidiary, the Company shall reserve for the life of this
          Warrant, shares of the subsidiary  to be delivered to the Holders
          of the Warrants upon exercise to the  same extent as if they were
          owners of record of the Warrant Shares  on  the  record  date for
          payment  of  the shares of the subsidiary.  The Holder shall  not
          have the right to exercise this Warrant to purchase shares of any
          entity into which  the  Company  may  convey  all  or some of its
          uranium properties and/or uranium processing facilities,  or  any
          interests  or rights in such properties or facilities, regardless
          of  whether  such  properties,  facilities,  interest  and  right
          constitute all  or substantially all of the assets of the Company
          and regardless of whether the shareholders of the Company were or
          will be granted the  right  to  vote  upon  the  approval  of the
          conveyance thereof to any entity.

               (g)  Registration Under the Securities Act of 1933.

                    (1)  Within  45 days after receipt of a written request
               by the then Holder(s)  of  the Warrant, provided the request
               is made after December 2, 1998  and before the expiration of
               this warrant, the Company will file,  no  more  than once, a
               registration statement under the Securities Act of  1933, as
               amended,  registering the Warrant Shares.  The Company  will
               use its best efforts to cause such registration statement to
               become effective.

                    (2)  If  at  any  time  during  the  period  commencing
               December 1,  1997,  and ending December 1, 1998, the Company
               should file a registration  statement  (which term shall not
               include any registration statement filed  on Forms S-8 or S-
               4) under the Securities Act of 1933, as amended (the "Act"),
               which  relates  to a current offering of securities  of  the
               Company  (other than  solely  in  exchange  for  properties,
               assets or  stock of other individuals or corporations), such
               registration  statement  and the prospectus included therein
               shall also, at the written  request  to the Company from the
               Holder(s)  of  the  Warrants,  relate  to,   and   meet  the
               requirements  of the Act with respect to any public offering
               of the Warrant  Shares  so  as  to  permit  the  public sale
               thereof in compliance with the Act.  The Company shall  give
               notice   to  the  Holder(s)  of  its  intention  to  file  a
               registration  statement  under the Act relating to a current
               offering of the aforesaid securities of the Company prior to
               the filing of such registration  statement,  and the written
               request   provided  for  in  the  first  sentence  of   this
               subsection  shall  be  made  by  the  Holder(s) to file such
               registration statement.  Neither the delivery of such notice
               by the Company nor of such request by the Holder(s) shall in
               any


               way  obligate  the  Company  to file such  registration
               statement   and   notwithstanding   the   filing   of   such
               registration statement, the Company may, at  any  time prior
               to  the effective date thereof, determine not to proceed  to
               effectiveness  with  such  registration  statement,  without
               liability  to  the  Holders(s).   The  Company shall pay all
               expenses  (with  the  exception  of any selling  commissions
               relating to the sale of the Warrant  Shares  which  shall be
               paid  by  the  sellers  thereof)  of  any  such registration
               statement.

                    (3)  In addition, the Company will cooperate  with  the
               then Holder(s)  of  the  Warrant  Shares  in  preparing  and
               signing  any  registration  statement,  in  addition  to the
               registration  statements  discussed above, required in order
               to sell or transfer the Warrant  Shares  and  will  sign and
               supply all information required therefor.

                    (4)  When,  pursuant to subsection (1), (2), or (3)  of
               this Section, the  Company shall take any action to permit a
               public offering or sale or other distribution of the Warrant
               Shares, the Company shall:

                         (A) Supply  to  the selling Holder(s) two executed
                    copies of each registration  statement and a reasonable
                    number of copies of the preliminary,  final  and  other
                    prospectus  in  conformity with requirements of the Act
                    and the Rules and  Regulations  promulgated  thereunder
                    and   such   other   documents  as  the  Holders  shall
                    reasonably request.

                         (B)  Take all actions  necessary  to  register  or
                    qualify for  sale the Warrant Shares in up to one state
                    selected by the  Holder.   The  Company  shall bear the
                    complete  cost  and  expense  (other  than any  selling
                    commissions relating to the sale of the Warrant Shares,
                    which  shall  be  paid by the seller thereof)  of  such
                    registrations  or  qualifications  except  those  filed
                    under subsection (g)(3)  which shall be at the Holder's
                    cost and expense.

                         (C)  Keep  effective such  registration  statement
                    until the first of  the  following events occur: (i) 12
                    months have elapsed after  the  effective  date of such
                    registration  statement  or  (ii) all of the registered
                    Warrant Shares issued by the Company  either  before or
                    after the effective date of such registration statement
                    has   been   publicly   sold  under  such  registration
                    statement.

                    (5) The Holder(s) shall supply  such information as the
               Company may reasonably require from such  Holder(s),  or any
               underwriter   for   any  of  them,  for  inclusion  in  such
               registration statement or post effective amendment.

                    (6)  The  Company's  agreements  with  respect  to  the
               Warrant Shares in  this  Section  will  continue  in  effect
               regardless of the exercise or surrender of this Warrant.


                    (7)  If the Company registers the Warrants under (g)(2)
               above, solely to accommodate the registration of the Warrant
               Shares,  the  Holder(s)  agree  not  to  sell  or  otherwise
               transfer the Warrants pursuant to the Registration Statement
               for a period  of  24  months after the effective date.  Such
               lock-up shall not extend  to the Warrant Shares purchased on
               exercise of the Warrants.

                    (8) Any notices or certificates  by  the Company to the
               Holder(s)  and  by  the Holders(s) to the Company  shall  be
               deemed delivered if in  writing  and delivered personally or
               sent  by certified mail, return receipt  requested,  to  the
               Holder,  addressed to him at his address as set forth on the
               Warrant or  stockholder  register of the Company, or, if the
               Holder has designated, by  notice in writing to the company,
               any other address, to such other  address,  and,  if  to the
               Company,  addressed  to  it at 877 North 8th West, Riverton,
               Wyoming  82501.   The Company  may  change  its  address  by
               written notice to the Holders.

               (h)  Transfer to Comply  with  the  Securities  Act of 1933.
          The  Company  may  cause  the  following  legend,  or one similar
          thereto,  to be set forth on the Warrant and on each  certificate
          representing  Warrant  Shares  or  any  other  security issued or
          issuable   upon   exercise   of   this  Warrant  not  theretofore
          distributed   to   the  public  or  sold  to   underwriters   for
          distribution to the public pursuant to Section (g) hereof; unless
          legal counsel for the  Company  is  of the opinion as to any such
          certificate  that  such  legend,  or  one   similar  thereto,  is
          unnecessary:

               "The securities represented by this certificate may not
               be  offered  for  sales  sold  or otherwise transferred
               except pursuant to an effective  registration statement
               made under the Securities Act of 1933  (the  "Act") and
               under any applicable state securities law, or  pursuant
               to  an  exemption  from registration under the Act  and
               under  any  applicable   state   securities   law,  the
               availability  of  which  is  to  be  established to the
               satisfaction of the Company."

               (i)  Applicable Law.  This Warrant shall be governed by, and
          construed in accordance with, the laws of the state of Wyoming.

          Dated as of January 9, 1998.


                                                  U.S. ENERGY CORP.


                                             By:      /s/ Keith G.  Larsen
                                                 ---------------------------
                                                  KEITH G. LARSEN, PRESIDENT



                                   ASSIGNMENT FORM

                                                   Dated: ____________, 19___

          FOR VALUE RECEIVED,

          hereby sells, assigns and transfers unto ___________________________

          Name:  _____________________________________________________________
                     (Please typewrite or print in block letters)

          Address:  __________________________________________________________

          the right to purchase the $.01 par value Common Shares represented by

          Assignor's Warrant to the extent of Common Shares of U.S. Energy Corp.

          (the "Company") as to which such right is exercisable.


          When  Assignee  exercises his or her Warrant, please complete the

          Purchase Form and return a copy of this Assignment to U.S. Energy

          Corp. at 877 North  8th  West, Riverton, WY 82501 with full power

          to transfer the same on the  books of the Company.  The signature

          on this Assignment Form and the  Purchase  Form  are  both  to be

          Medallion guaranteed.



                                             ASSIGNOR



                                             Signature:  ____________________

                                             Name: __________________________

                                             Title:  ________________________

          (MEDALLION GUARANTY)



                                    PURCHASE FORM


          To:  U.S. Energy Corp.
               877 North 8th West
               Riverton, WY 82501
                                            Dated:  ________________, 19___

          The undersigned hereby irrevocably elects to exercise the Warrant

          originally  issued  to  Sunrise  Financial  Group to the exten of

          purchasing ____________ shares of the $.01 par value Common Shares

          of U.S. Energy Corp. and hereby makes payment of $_____________ to

          U.S. Energy Corp. in payment of the actual Purchase Price thereof.


          INSTRUCTIONS FOR REGISTRATION OF SHARES

          Please register the shares in the following name(s):

          __________________________________________________________________

          __________________________________________________________________
                     (Please typewrite or print in block letters)





                                        ____________________________________
                                        Social Security Number or
                                        Federal ID Number

                                        ____________________________________

                                        ____________________________________
                                        Address


                                        ____________________________________

                                        ____________________________________
                                        Signature(s)
          (MEDALLION GUARANTY)