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In order to provide accounting for a wireless metropolitan area network (WMAN) based on Mobile IP (MIP), the MIP accounting application should be considered in addition to the basic network access server (NAS) application in the Diameter protocol. In the conventional Diameter accounting scheme, these two applications are processed separately. In this paper, we propose a new Diameter accounting application supporting various service classes for WMAN by using both NAS and MIP applications. Then, an efficient Diameter-based accounting scheme for the proposed accounting application is proposed. The performance of the proposed scheme is analyzed. The results show that the proposed scheme performs better than the conventional scheme, especially when either the cell update rate (mobility) or subsession arrival rate is high.