CERTIFICATION  PURSUANT TO RULE  30A-2(B)  UNDER THE 1940 ACT AND SECTION 906 OF
                             THE SARBANES-OXLEY ACT

I, James A. Bowen, Chairman of the Board,  President and Chief Executive Officer
of First Trust/Four Corners Senior Floating Rate Income Fund (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: FEBRUARY 1, 2006          /S/ JAMES A. BOWEN
     ------------------------   ------------------------------------------------
                                James A. Bowen, Chairman of the Board,
                                President and Chief Executive Officer
                                (principal executive officer)

I, Mark R. Bradley,  Treasurer,  Controller,  Chief Financial  Officer and Chief
Accounting  Officer of First Trust/Four Corners Senior Floating Rate Income Fund
(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: FEBRUARY 1, 2006          /S/ MARK R. BRADLEY
     ------------------------   --------------------------------------------
                                Mark R. Bradley, Treasurer, Controller,
                                Chief Financial Officer and
                                Chief Accounting Officer
                                (principal financial officer)