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


Chief Executive Officer
Form N-CSR 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;

2.            Based on my knowledge, this report does not contain any untrue
              statement of a material fact or omit to state a material fact
              necessary to make the statements made, in light of the
              circumstances under which such statements were made, not
              misleading with respect to the period covered by this report;

3.            Based on my knowledge, the financial statements, and other
              financial information included in this report, fairly present in
              all material respects the financial condition, results of
              operations, changes in net assets, and cash flows (if the
              financial statements are required to include a statement of cash
              flows) of the registrant as of, and for, the periods presented in
              this report;

4.            The registrant's other certifying officer(s) and I are responsible
              for establishing and maintaining disclosure controls and
              procedures (as defined in Rule 30a-3(c) under the Investment
              Company Act of 1940) and internal control over financial reporting
              (as defined in Rule 30a-3(d) under the Investment Company Act of
              1940) for the registrant and have:

              (a)           Designed such disclosure controls and procedures, or
                            caused such disclosure controls and procedures to be
                            designed under our supervision, to ensure that
                            material information relating to the registrant,
                            including its consolidated subsidiaries, is made
                            known to us by others within those entities,
                            particularly during the period in which this report
                            is being prepared;

              (b)           Designed such internal control over financial
                            reporting, or caused such internal control over
                            financial reporting to be designed under our
                            supervision, to provide reasonable assurance
                            regarding the reliability of financial reporting



                            and the preparation of financial statements for
                            external purposes in accordance with generally
                            accepted accounting principles;

              (c)           Evaluated the effectiveness of the registrant's
                            disclosure controls and procedures and presented in
                            this report our conclusions about the effectiveness
                            of the disclosure controls and procedures, as of a
                            date within 90 days prior to the filing date of this
                            report based on such evaluation; and

              (d)           Disclosed in this report any change in the
                            registrant's internal control over financial
                            reporting that occurred during the registrant's most
                            recent fiscal half-year (the registrant's second
                            fiscal half-year in the case of an annual report)
                            that has materially affected, or is reasonably
                            likely to materially affect, the registrant's
                            internal control over financial reporting; and

5.            The registrant's other certifying officer(s) and I have disclosed
              to the registrant's auditors and the audit committee of the
              registrant's board of directors (or persons performing the
              equivalent functions):

              (a)           All significant deficiencies and material weaknesses
                            in the design or operation of internal control over
                            financial reporting which are reasonably likely to
                            adversely affect the registrant's ability to record,
                            process, summarize, and report financial
                            information; and

              (b)           Any fraud, whether or not material, that involves
                            management or other employees who have a significant
                            role in the registrant's internal control over
                            financial reporting.

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
Form N-CSR 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;

2.            Based on my knowledge, this report does not contain any untrue
              statement of a material fact or omit to state a material fact
              necessary to make the statements made, in light of the
              circumstances under which such statements were made, not
              misleading with respect to the period covered by this report;

3.            Based on my knowledge, the financial statements, and other
              financial information included in this report, fairly present in
              all material respects the financial condition, results of
              operations, changes in net assets, and cash flows (if the
              financial statements are required to include a statement of cash
              flows) of the registrant as of, and for, the periods presented in
              this report;

4.            The registrant's other certifying officer(s) and I are responsible
              for establishing and maintaining disclosure controls and
              procedures (as defined in Rule 30a-3(c) under the Investment
              Company Act of 1940) and internal control over financial reporting
              (as defined in Rule 30a-3(d) under the Investment Company Act of
              1940) for the registrant and have:

              (a)           Designed such disclosure controls and procedures, or
                            caused such disclosure controls and procedures to be
                            designed under our supervision, to ensure that
                            material information relating to the registrant,
                            including its consolidated subsidiaries, is made
                            known to us by others within those entities,
                            particularly during the period in which this report
                            is being prepared;

              (b)           Designed such internal control over financial
                            reporting, or caused such internal control over
                            financial reporting to be designed under our
                            supervision, to provide reasonable assurance
                            regarding the reliability of financial reporting



                            and the preparation of financial statements for
                            external purposes in accordance with generally
                            accepted accounting principles;

              (c)           Evaluated the effectiveness of the registrant's
                            disclosure controls and procedures and presented in
                            this report our conclusions about the effectiveness
                            of the disclosure controls and procedures, as of a
                            date within 90 days prior to the filing date of this
                            report based on such evaluation; and

              (d)           Disclosed in this report any change in the
                            registrant's internal control over financial
                            reporting that occurred during the registrant's most
                            recent fiscal half-year (the registrant's second
                            fiscal half-year in the case of an annual report)
                            that has materially affected, or is reasonably
                            likely to materially affect, the registrant's
                            internal control over financial reporting; and

5.            The registrant's other certifying officer(s) and I have disclosed
              to the registrant's auditors and the audit committee of the
              registrant's board of directors (or persons performing the
              equivalent functions):

              (a)           All significant deficiencies and material weaknesses
                            in the design or operation of internal control over
                            financial reporting which are reasonably likely to
                            adversely affect the registrant's ability to record,
                            process, summarize, and report financial
                            information; and

              (b)           Any fraud, whether or not material, that involves
                            management or other employees who have a significant
                            role in the registrant's internal control over
                            financial reporting.

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