The object-oriented method is passive, so it is not consistent with the active rules and can not easily define the functions and features of the objects in a distributed and active database system. And also the active rules lead to the problems of termination and confluence. In this paper, the Agent method, distributed database, and active database are combined after the constraints of the object-oriented method are analyzed. On the basis of the combination, a distributed and active database system framework based on the Agent-oriented method is proposed. As to the system framework, a method of expanding the event-rule graph and an improved Coffman-Graham parallel algorithm are presented, and then their performances are analyzed. Shown by the analysis results, the former is used to solve the problem of database system termination, while the latter, on the foundation of remaining the confluence, improves the efficiency of parallel rule process. Besides, the database system framework is useful for applying the Agent method to the distributed and active database.