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 Deutsche Money Market Fund,
     a series of Scudder Advisor Funds III, on Form N-CSR of the Deutsche Money
     Market Fund (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.




February 27, 2004                                 /s/Richard T. Hale
                                                  Richard T. Hale
                                                  Chief Executive Officer
                                                  Deutsche Money Market Fund, a
                                                  series of Scudder Advisor
                                                  Funds III



                                             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 Deutsche Money Market Fund,
     a series of Scudder Advisor Funds III, on Form N-CSR of the Deutsche Money
     Market Fund (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.




February 27, 2004                                  /s/Charles A. Rizzo
                                                   Charles A. Rizzo
                                                   Chief Financial Officer
                                                   Deutsche Money Market Fund, a
                                                   series of Scudder Advisor
                                                   Funds III