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