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


Chief Executive Officer
Section 906 Certification under Sarbanes Oxley Act






I, Richard T. Hale, certify that:

1.   I have reviewed this report, filed on behalf of Scudder Strategic Municipal
     Income Trust, on Form N-CSR of the Scudder Strategic Municipal Income Trust
     (the "Company");

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.




January 16, 2004                                 /s/Richard T. Hale
                                                 Richard T. Hale
                                                 Chief Executive Officer
                                                 Scudder Strategic Municipal
                                                 Income Trust



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


Chief Financial Officer
Section 906 Certification under Sarbanes Oxley Act






I, Charles A. Rizzo, certify that:

1.   I have reviewed this report, filed on behalf of Scudder Strategic Municipal
     Income Trust, on Form N-CSR of the Scudder Strategic Municipal Income Trust
     (the "Company");

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.




January 16, 2004                                 /s/Charles A. Rizzo
                                                 Charles A. Rizzo
                                                 Chief Financial Officer
                                                 Scudder Strategic Municipal
                                                 Income Trust