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



Chief Executive Officer
Section 906 Certification under Sarbanes Oxley Act





I, Julian Sluyters, certify that:

1.       I have reviewed this report, filed on behalf Scudder Tax Free Money
         Fund, 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.




August 2, 2005                                       /s/Julian Sluyters
                                                     Julian Sluyters
                                                     Chief Executive Officer
                                                     Scudder Tax Free Money Fund



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



Chief Financial Officer
Section 906 Certification under Sarbanes Oxley Act





I, Paul Schubert, certify that:

1.       I have reviewed this report, filed on behalf of Scudder Tax Free Money
         Fund, 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.



August 2, 2005                                       /s/Paul Schubert
                                                     Paul Schubert
                                                     Chief Financial Officer
                                                     Scudder Tax Free Money Fund