SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549


                                  SCHEDULE 13G


                    Under the Securities Exchange Act of 1934

                                (Amendment No. )*




                              LOMAK PETROLEUM, INC.
- --------------------------------------------------------------------------------
                                (Name of Issuer)

                                  Common Stock
- --------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                    541509303
- --------------------------------------------------------------------------------
                                 (CUSIP Number)


*The  remainder of this cover page shall be filled out for a reporting  person's
initial filing on this form with respect to the subject class of securities, and
for any  subsequent  amendment  containing  information  which  would  alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the  Securities  Exchange  Act of
1934 ("Act") or otherwise  subject to the liabilities of that section of the Act
but  shall be  subject  to all other  provisions  of the Act  (however,  see the
Notes).








                               CUSIP NO. 541509303
- --------------------------------------------------------------------------------

(1)     Names of Reporting Persons.  S.S. or I.R.S. Identification Nos. of Above
        Persons:  Palisade Capital Management, L.L.C., Tax ID#: 22-3330049
- --------------------------------------------------------------------------------

(2)     Check the Appropriate Box if a Member of a Group (See Instructions)
        (a) ___
        (b) ___
- --------------------------------------------------------------------------------

(3)     SEC Use Only
- --------------------------------------------------------------------------------

(4)     Citizenship or Place of Organization:  New Jersey
- --------------------------------------------------------------------------------

Number of Shares Beneficially Owned by Each    (5) Sole Voting
      Reporting Person With                          Power:              923,663
                                               (6) Shared Voting
                                                     Power:                --
                                               (7) Sole Dispositive
                                                     Power:              923,663
                                               (8) Shared Dispositive
                                                     Power:                --
- --------------------------------------------------------------------------------
(9)    Aggregate Amount  Beneficially  Owned by Each Reporting  Person:  923,663
       (includes  635,763  shares  reporting  person has right to  acquire  upon
       conversion of convertible securities issued by the Issuer)

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

(10)    Check if the Aggregate Amount in Row (9) Excludes Certain Shares (See
        Instructions)
- --------------------------------------------------------------------------------
(11)    Percent of Class Represented by Amount in Row (9): 5.9%

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

(12)     Type of Reporting Person (See Instructions):  IA
- --------------------------------------------------------------------------------



Item 1(a).  Name Of Issuer:  Lomak Petroleum, Inc.
- --------------------------------------------------------------------------------

Item 1(b).  Address of Issuer's Principal Executive Offices:  500 Throckmoron 
            Street, Ft. Worth, Texas 76102

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

Item 2(a).  Name of Person Filing:  Palisade Capital Management, L.L.C.
- --------------------------------------------------------------------------------

Item 2(b).  Address of Principal Business Office or, if None, Residence:  
            One Bridge Plaza, Suite 695, Fort Lee, NJ 07024
- --------------------------------------------------------------------------------

Item 2(c).  Citizenship:  New Jersey
- --------------------------------------------------------------------------------

Item 2(d).  Title of Class of Securities:  Common Stock
- --------------------------------------------------------------------------------

Item 2(e).  CUSIP No.:  541509303
- --------------------------------------------------------------------------------

Item 3.  If This Statement Is Filed Pursuant to Rules 13d-1(b), or 13d-2(b), 
         check whether the Person Filing is a

         (a) [ ] Broker or Dealer registered under Section 15 of the Act.

         (b) [ ] Bank as defined in section 3(a)(6) of the Act.

         (c) [ ] Insurance company as defined in section 3(a)(19) of the Act.

         (d) [ ] Investment Company registered under section 8 of the Investment
Company Act.

         (e) [X] Investment Adviser registered under section 203 of the 
Investment Advisers Act of 1940.

         (f) [ ] Employee  Benefit  Plan,  Pension  Fund which is subject to the
provisions of the Employee  Retirement  Income Security Act of 1974 or Endowment
fund; see Rule 13d-1(b)(1)(ii)(H).

         (g) [ ] Parent Holding Company, in accordance with Rule 13d-1(b)(ii)(G)
(Note:  See Item 7).

         (h) [ ] Group, in accordance with Rule 13d-1(b)(1)(ii)(H).

Item 4.  Ownership

         (a) Amount Beneficially Owned (as of December 31, 1996):

             923,663  (includes  635,763  shares  reporting  person has right to
             acquire upon conversion of convertible securities issued by the 
             Issuer)

         (b) Percent of Class (as of December 31, 1996):

             5.9%

         (c)  Number of Shares as to which such person has:

              (i)  sole power to vote or to direct the vote   923,663

             (ii)  shared power to vote or to direct the vote    --
                                                             ----------

             (iii) sole power to dispose or to direct the disposition of 923,663

             (iv)  shared power to dispose or to direct the disposition of  --


Item 5.  Ownership of Five Percent or Less of a Class

         If this statement is being filed to report the fact that as of the date
hereof the reporting  person has ceased to be the beneficial  owner of more than
five percent of the class of securities, check the following [ ].

Item 6.  Ownership of More Than Five Percent on Behalf of Another Person

         The shares of the Issuer beneficially owned by the reporting person are
held on behalf of the  reporting  person's  clients in  accounts  over which the
reporting  person has complete  investment  discretion.  No other person has the
right to receive or the power to direct the receipt of  dividends  from,  or the
proceeds from the sale of, such shares.  No other person's  interest  relates to
more than five percent of the class.  No client account  contains more than five
percent of the class.

Item 7.  Identification  and  Classification of the Subsidiary Which Acquired 
         the Security Being Reported on by the Parent Holding Company.  N/A

Item 8.  Identification and Classification of Members of the Group.  N/A

Item 9.  Notice of Dissolution of Group.  N/A

Item 10.  Certification

         By  signing  below I  certify  that,  to the best of my  knowledge  and
belief, the securities referred to above were acquired in the ordinary course of
business  and were not acquired for the purpose of and do not have the effect of
changing or  influencing  the control of the issuer of such  securities and were
not acquired in connection  with or as a participant in any  transaction  having
such purposes or effect.

         After reasonable  inquiry and to the best of my knowledge and belief, I
certify that the information  set forth in this statement is true,  complete and
correct.



                                     February 1, 1997
                                     ________________________
                                     (Date)



                                     /s/ Steven E. Berman
                                     _________________________
                                     (Signature)



                                     Steven E. Berman/Member
                                     _________________________
                                       (Name/Title)