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








President
Form N-CSR Certification under Sarbanes Oxley Act






I, Vincent J. Esposito, certify that:

1.                I have reviewed this report, filed on behalf of Scudder High
                  Income Fund, a series of Scudder High Income Series, 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.

December 2, 2005                     /s/Vincent J. Esposito
                                     -------------------------
                                     Vincent J. Esposito
                                     President
                                     Scudder High Income Fund, a series of
                                     Scudder High Income Series









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







Chief Financial Officer and Treasurer
Form N-CSR Certification under Sarbanes Oxley Act






I, Paul Schubert, certify that:

1.                I have reviewed this report, filed on behalf of Scudder High
                  Income Fund, a series of Scudder High Income Series, 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.

December 2, 2005             /s/Paul Schubert
                             ---------------------
                             Paul Schubert
                             Chief Financial Officer and Treasurer
                             Scudder High Income Fund, a series of Scudder High
                             Income Series