Abstract: The present invention relates to a method and apparatus for routing an asynchronous transfer mode communication, and in particular to a method and apparatus for routing an asynchronous transfer mode communication network to satisfy a user's desired service quality by providing a terminal-to-terminal optimum path in a divided hierarchical network structure and maximizing the efficiency of a network resource. The present invention performs BFRA (Bounded Flooding Routing Algorithm) on a network topology information provided by a network management system to form a routing table. The routing entries in the routing table are aligned by the order of total cost assigned to the entries. Finally, the present invention performs a connection allowance control on the routing entries in the routing table to select an optimum path based on a bandwidth required by the network management system.