CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT

I, Carter E. Anthony, President of RMK Strategic Income Fund, Inc. (the "Fund"),
certify that:

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



Date:    June 2, 2004                       /s/ Carter E. Anthony
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                                            Carter E. Anthony, President


         CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT

I, Joseph C. Weller,  Treasurer of RMK Strategic Income Fund, Inc. (the "Fund"),
certify that:

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



Date:    June 2, 2004                       /s/ Joseph C. Weller
     ----------------------         --------------------------------------------
                                            Joseph C. Weller, Treasurer