Deutsche Asset Management [LOGO]
                                             A Member of the Deutsche Bank Group



Chief Executive Officer
Section 906 Certification under Sarbanes Oxley Act





I, Julian Sluyters, certify that:

1.       I have reviewed this report, filed on behalf of Scudder Strategic
         Income Fund, on Form N-CSR;

2.       Based on my knowledge and pursuant to 18 U.S.C. ss. 1350, the periodic
         report on Form N-CSR (the "Report") fully complies with the
         requirements of ss. 13 (a) or ss.15 (d), as applicable, of the
         Securities Exchange Act of 1934 and that the information contained in
         the Report fairly presents, in all material respects, the financial
         condition and results of operations of the Company.




July 1, 2005                                       By: /s/Julian Sluyters
                                                       ------------------
                                                   Julian Sluyters
                                                   Chief Executive Officer
                                                   Scudder Strategic Income Fund







                                             Deutsche Asset Management [LOGO]
                                             A Member of the Deutsche Bank Group



Chief Financial Officer
Section 906 Certification under Sarbanes Oxley Act





I, Paul Schubert, certify that:

1.       I have reviewed this report, filed on behalf of Scudder Strategic
         Income Fund, on Form N-CSR;

2.       Based on my knowledge and pursuant to 18 U.S.C. ss. 1350, the periodic
         report on Form N-CSR (the "Report") fully complies with the
         requirements of ss. 13 (a) or ss. 15 (d), as applicable, of the
         Securities Exchange Act of 1934 and that the information contained in
         the Report fairly presents, in all material respects, the financial
         condition and results of operations of the Company.



July 1, 2005                                       By: /s/Paul Schubert
                                                       ----------------
                                                   Paul Schubert
                                                   Chief Financial Officer
                                                   Scudder Strategic Income Fund