
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C. 20549
FORM 5
ANNUAL STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP
( ) Check box if no longer subject to Section 16.
Form 4 or Form 5 obligations may continue. See Instructions 1(b).
( ) Form 3 Holdings Reported
( ) Form 4 Transactions Reported
1. Name and Address of Reporting Person
       BRENMAN, DAVID W.
       MELLON FINANCIAL CENTER, SUITE 1001
       1775 SHERMAN STREET
       DENVER, CO  80203
   USA
2. Issuer Name and Ticker or Trading Symbol
       U.S. ENERGY CORP.
       USEG
3. IRS or Social Security Number of Reporting Person (Voluntary)
   
4. Statement for Month/Year
       MAY 1998
5. If Amendment, Date of Original (Month/Year)
   
6. Relationship of Reporting Person(s) to Issuer (Check all applicable)
   (X) Director  ( ) 10% Owner  ( ) Officer (give title below) ( ) Other
   (specify below)
   
7. Individual or Joint/Group Reporting (Check Applicable Line)
   (X) Form filed by One Reporting Person
   ( ) Form filed by More than One Reporting Person
<TABLE>
<CAPTION>
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 Table I -- Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned                                                 |
___________________________________________________________________________________________________________________________________|
1. Title of Security         |2.    |3.  |4.Securities Acquired (A)         |5.Amount of        |6.Dir |7.Nature of Indirect       |
                             |Transaction|  or Disposed of (D)              |  Securities       |ect   |  Beneficial Ownership     |
                             |Date  |Code|                                  |  Beneficially     |(D)or |                           |
                             |      |    |                  | A/|           |  Owned at         |Indir |                           |
                             |      |    |    Amount        | D |    Price  |  End of Year      |ect(I)|                           |
___________________________________________________________________________________________________________________________________|
<S>                          <C>    <C>  <C>                <C> <C>         <C>                 <C>    <C>
    $.01 PAR VALUE COMMON STO|05/18/|J-4 |640 (a)           |A  |NIL        |5,640              |D     |                           |
CK                           |98    |    |                  |   |           |                   |      |                           |
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<CAPTION>
___________________________________________________________________________________________________________________________________
 Table II -- Derivative Securitites Acquired, Disposed of, or Beneficially Owned                                                   |
___________________________________________________________________________________________________________________________________|
1.Title of Derivative   |2.Con   |3.   |4.  |5.Number of De |6.Date Exer|7.Title and Amount  |8.Price|9.Number    |10.|11.Nature of|
  Security              |version |Transaction rivative Secu |cisable and|  of Underlying     |of Deri|of Deriva   |Dir|Indirect    |
                        |or Exer |Date |Code| rities Acqui  |Expiration |  Securities        |vative |tive        |ect|Beneficial  |
                        |cise Pr |     |    | red(A) or Dis |Date(Month/|                    |Secu   |Securities  |(D)|Ownership   |
                        |ice  of |     |    | posed of(D)   |Day/Year)  |                    |rity   |Benefi      |or |            |
                        |Deriva  |     |    |               |Date |Expir|                    |       |ficially    |Ind|            |
                        |tive    |     |    |           | A/|Exer-|ation|   Title and Number |       |Owned at    |ire|            |
                        |Secu    |     |    |           | D |cisa-|Date |   of Shares        |       |End of      |ct |            |
                        |rity    |     |    |  Amount   |   |ble  |     |                    |       |Year        |(I)|            |
___________________________________________________________________________________________________________________________________|
<S>                     <C>      <C>   <C>  <C>         <C> <C>   <C>   <C>           <C>    <C>     <C>          <C> <C>
___________________________________________________________________________________________________________________________________|
</TABLE>
Explanation of Responses:
a)   Payment for services as a director for calendar 1997.  The acquisition of 
the shares by the Reporting Person is exempt under Rule 16-b3.
SIGNATURE OF REPORTING PERSON
    /s/    David W. Brenman
DATE
        07/13/98

