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



Chief Executive Officer
Form N-CSR Certification under Sarbanes Oxley Act






I, Julian Sluyters, 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 31, 2005                             /s/Julian Sluyters
                                             Julian Sluyters
                                             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, Paul Schubert, 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 31, 2005                             /s/Paul Schubert
                                             Paul Schubert
                                             Chief Financial Officer
                                             Scudder Strategic Municipal
                                             Income Trust