EXHIBIT 4.1
                                
Void After 12:00 O'clock Midnight., Mountain Time, on January 9,
                              1997
                                
                                
            WARRANT TO PURCHASE 200,000 COMMON SHARES
                                
                        U.S. ENERGY CORP.
                                
     This  is  to  Certify  That,  FOR VALUE  RECEIVED,  SHAMROCK
PARTNERS,   LTD.  of  111  Veterans  Square,  Media,   PA   19063
("Holder"), is entitled to purchase, subject to the provisions of
this  Warrant,  from  U.S. ENERGY CORP.  ("Company"),  a  Wyoming
corporation,  at any time until 12:00 O'clock Midnight,  Mountain
Time,  on  January  9, 1997 ("Expiration Date"),  200,000  Common
Shares  of  the  Company  at a price  of  $5.00  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 hereby 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. Notwithstanding 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.  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  as  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.
     
          (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 August 29, 1996, 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 March
     9, 1996, and ending January 9, 1997, 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  Holder(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 Holder(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 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, 1996.

                                   U.S. ENERGY CORP.



                              By:    s/ John L. Larsen
                                 --------------------------------
                                   JOHN L. LARSEN, President

                          PURCHASE FORM

                                        Dated:  ________, 19_____
                                                                 
The undersigned hereby irrevocably elects to exercise the Warrant
to  the  extent of purchasing 200,000 shares of Common Shares  of
U.S.  Energy  Corp.  and hereby makes payment  of  $1,000,000  in
payment of the actual Purchase Price thereof.

INSTRUCTIONS FOR REGISTRATION OF SHARES

Name:  __________________________________________________________

               (Please typewrite or print in block letters)

Address:  _______________________________________________________


Signature:  _____________________________________________________

                         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 Common Shares represented by this Warrant

to the extent of ____________________ Common Shares as to which

such right is exercisable and does hereby irrevocably constitute

and appoint _____________________________________________________

_________________________________________________________________

attorney, to transfer the same on the books of the Company with

full power of substitution in the premises.


                         Signature:  ____________________________

                         Name:  _________________________________

                                                           Title:
________________________________________