The routing and channel assignment (RCA) can affect the performance of wireless mesh networks (WMN) largely. In order to solve the RCA problem of WMN, a scheme called CRAG (Channel and Routing Assignment based on Game) for WMN is proposed and studied. CRAG is a kind of coordination game which models each node of the network as a player. The players strategy is the routing and channel assignment scheme related to the node. The payoff function is the successful transmission traffic given a traffic demand matrix. Player coordinately optimizes the payoff function to maximize the network throughput. Simulation results based on NS3 show that CRAG performs much better than other state-of-the-art schemes in terms of convergence, delay, loss rate and throughput. It proves that coordination game can be used to solve the RCA of WMN and improve the performance of network effectively. 