The management of modern computer networks is a complex and labour-intensive task that requires the assimilation of vast amounts of information and application of operator's judgment and expertise. The complexity is further increased because of the multi-vendor heterogeneous elements that make up many of these networks, and the high quality of user service requirements. In this paper, the authors give a novel system model for building an intelligent management of network (IMN) in order to solve related problems. In the IMN architecture proposed, expert systems are integrated in the network management system to handle particularly difficult problems, especially an intelligent fault management system is presented. By spreading intelligent agents through network segments or domain, the IMN system can bring the management closer to application and user requirements. The authors also give a manager model in the IMN system, which controls each subsystems and coordinates different management task. The IMN system is well suited to manage the current computer network intelligently, effectively and efficiently.