EXHIBIT 32


      Certification of Chief Executive Officer and Chief Financial Officer
           Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002


In connection  with the  accompanying  Annual Report on Form 10-K for the fiscal
year ended December 31, 2002 (the "Report") of Swift Energy Company ("Swift") as
filed  with the  Securities  and  Exchange  Commission  on March 26,  2003,  the
undersigned,  in his capacity as an officer of Swift,  hereby certifies pursuant
to  18  U.S.C.  Section  1350,  as  adopted  pursuant  to  Section  906  of  the
Sarbanes-Oxley Act of 2002, that to his knowledge:

     1.   The Report fully  complies with the  requirements  of Section 13(a) or
          15(d) of the Securities Exchange Act of 1934, as amended; and

     2.   The  information  contained  in the  Report  fairly  presents,  in all
          material respects,  the financial  condition and results of operations
          of Swift.


Dated:  March 26, 2003                   /s/ Alton D. Heckaman, Jr.
                                         -----------------------------------
                                         Alton D. Heckaman, Jr.
                                         Senior Vice President-Finance and
                                         Chief Financial Officer


Dated:  March 26, 2003                   /s/ Terry E. Swift
                                         -----------------------------------
                                         Terry E. Swift
                                         President and Chief Executive Officer