Deustche Asset Management [LOGO] A Member of the Deustche 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 High Income Fund, a series of Scudder High Income Series, 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. November 24, 2003 /s/Richard T. Hale Richard T. Hale Chief Executive Officer Scudder High Income Fund, a series of Scudder High Income Series Deustche Asset Management [LOGO] A Member of the Deustche 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 High Income Fund, a series of Scudder High Income Series, 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. November 24, 2003 /s/Charles A. Rizzo Charles A. Rizzo Chief Financial Officer Scudder High Income Fund, a series of Scudder High Income Series