Abstract: In order to study the limited bandwidth resource in cognitive wireless ad hoc network, a topology control algorithm backing for network coding was proposed. The algorithm was mainly composed of three phases. In the stage of initial topology construction, the algorithm used the shortest path algorithm to construct topology for unicast services, used the shortest path algorithm based on network coding to construct topology for multicast services. In the stage of topology optimization, the algorithm deleted links which met certain conditions one by one to optimize the topology. In the stage of topology recovery, the algorithm used the least cost links which were not in the path cluster including failed links to recover network connectivity. Simulation results show that the proposed algorithm can improve the spatial reuse of radio resource and enhance network invulnerability.