AMENDMENT NO. 1
                               TO RIGHTS AGREEMENT
                                        of
                                FM PROPERTIES INC.

     This Amendment No. 1 to the Rights Agreement between FM Properties Inc. 
(the "Company") and Mellon Securities Trust Company, as Rights Agent (the 
"Rights Agent"), dated May 28, 1992 by and between the Company and the Rights 
Agent (the "Rights Agreement") is dated effective as of April 21, 1997.

     WHEREAS, Section 29 of the Rights Agreement grants the Board of Directors
of the Company the exclusive power and authority to amend the Rights Agreement;
and

     WHEREAS, the Board of Directors of the Company desires to amend the Rights
Agreement;

     NOW, THEREFORE, in consideration of the covenants and agreements contained
herein, the parties agree as follows:

     1.   The definition of "Acquiring Person" in Section 1 of the Rights
Agreement is hereby amended and restated to read in its entirety as follows:

               "Acquiring Person" means any Person who, together with all
          Affiliates and Associates of such Person, shall be the Beneficial
          Owner of 20% or more of the shares of Common Stock then
          outstanding, but shall not include the Company, any of its
          Subsidiaries, any employee benefit plan of the Company or any of its
          Subsidiaries or any Person organized, appointed or established by the
          Company or any of its Subsidiaries for or pursuant to the terms of 
          any such plan.  Notwithstanding the foregoing, no Person shall become
          an Acquiring Person if (i) such Person has become the Beneficial
          Owner of 20% or more of the shares of Common Stock, (ii) the
          acquisition by such Person of the shares that equal or exceed 20% of
          the shares of Common Stock was made without apparent knowledge
          of the potential implications of such acquisition under this 
          Agreement and (iii) either (A) within 10 days after the Company has 
          notified such Person that the Company has become aware of such 
          potential implications, such Person ceases to be the Beneficial Owner
          of 20% or more of the shares of Common Stock or (B) prior to 
          receiving such notice such Person ceases to be the Beneficial Owner 
          of 20% or more of the shares of Common Stock.
          
     2.   The footnote to the term "Transfer" denoted by the symbol "*" within 
the description of "Transfer" in Exhibit C to the Rights Agreement (the 
"Summary of Terms") is hereby amended to read in its entirety as follows:

          Distribution Date means the earlier of:
          
          (1)  the 10th day after public announcement that any person has
          become an Acquiring Person (as defined in the note below) and
          
          (2)  the 10th business day after the date of the commencement of a
          tender or exchange offer by any person which would, if
          consummated, result in such person becoming an Acquiring Person,
          in each case, subject to extension by a majority of the Directors not
          affiliated with the Acquiring Person.
          
     3.   The definition of the term "Flip-In" defined in the Summary of Terms 
is hereby amended to read in its entirety as follows:

          If any person becomes an Acquiring Person,  then each Right (other
          than Rights beneficially owned by the Acquiring Person and certain
          affiliated persons) will entitle the holder to purchase, for the 
          Purchase Price, a number of shares of the Company's Common Stock 
          having a market value of twice the Purchase Price.
          
           Acquiring Person means any person who shall be the beneficial
          owner of 20% or more of the shares of Common Stock then
          outstanding, but shall not include the Company, any of its
          subsidiaries, any employee benefit plan of the Company or any of its
          subsidiaries or any person organized, appointed or established by the
          Company or any of its subsidiaries for or pursuant to the terms of 
          any such plan.  Notwithstanding the foregoing, no person shall become 
          an Acquiring Person if (i) such person has become the beneficial 
          owner of 20% or more of the shares of Common Stock, (ii) the 
          acquisition by such person of the shares that equal or exceed 20% of 
          the shares of Common Stock was made without apparent knowledge of the
          potential implications of such acquisition under the Rights Agreement
          and (iii) either (A) within 10 days after the Company has notified
          such person that the Company has become aware of such potential
          implications, such person ceases to be the beneficial owner of 20% or
          more of the shares of Common Stock or (B) prior to receiving such
          notice such person ceases to be the beneficial owner of 20% or more
          of the shares of Common Stock.
          
     4.   All capitalized terms used herein but not otherwise defined herein 
shall have the meanings ascribed to them in the Rights Agreement.

     5.   Except as specifically amended by this Amendment, the Rights 
Agreement shall remain in full force and effect.

     6.   Any reference to "this Agreement" or "the Rights Agreement" shall be 
deemed to be a reference to the Rights Agreement as amended hereby.

     7.   This Amendment, all rights hereunder and provisions hereof, shall be 
governed by, and construed in accordance with, the laws of the State of 
Delaware without giving effect to principles of conflict of laws.

     8.   This Amendment may be executed by the parties in one or more 
counterparts, all of which shall be deemed an original, but all of which taken 
together shall constitute one and the same instrument.

     IN WITNESS WHEREOF, the parties hereto have duly executed this Amendment 
effective as of the day and year first above written.


                                               FM PROPERTIES INC.

Attest:

By:  /s/Michael C. Kilanowski, Jr.             By: /s/Richard C. Adkerson
       Michael C. Kilanowski, Jr.                    Richard C. Adkerson
             Secretary                            Chairman of the Board and
                                                   Chief Executive Officer

                                               MELLON SECURITIES TRUST COMPANY

Attest:

By:  /s/Linnette Samuels                       By: /s/Barry A. Shapiro
       Linnette Samuels                             Barry A. Shapiro
   Assistant Vice President                          Vice President