CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT

         I, James A. Bowen,  President,  Chairman and Chief Executive Officer of
First Defined Portfolio Fund, LLC (the "REGISTRANT"), certify that:


                    1. The Form N-CSR of the  Registrant  (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 the Registrant.

Date: MARCH 10, 2004   /S/ JAMES A. BOWEN
     ---------------   ---------------------------------------------------------
                       James A. Bowen, President,
                       Chairman & Chief Executive Officer
                       (principal executive officer)

         I, Mark R. Bradley, Treasurer,  Controller, Chief Financial Officer and
Chief   Accounting   Officer  of  First  Defined   Portfolio   Fund,   LLC  (the
"REGISTRANT"), certify that:


                    1. The Form N-CSR of the  Registrant  (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 the Registrant.

Date: MARCH 10, 2004   /S/ MARK R. BRADLEY
     ---------------   ---------------------------------------------------------
                       Mark R. Bradley, Treasurer, Controller,
                       Chief Financial Officer and Chief
                       Accounting Officer (principal financial
                       officer)