This paper considers the flow control of IEEE 802.16 wireless Mesh networks in different channel conditions and proposes a flow control method with maximized aggregated utility based on the cooperative game theory of Nash bargaining solution（NBS）.In this method,the NBS mechanism is combined with the adaptive modulation and coding technology for the end-to-end service flow in IEEE 802.16 wireless Mesh networks,and a control mecha-nism for the service flow rate of source nodes is presented.Simulated results show that the proposed method maintains a good balance between the profit of users and the fairness among service flows,and that it maximizes the aggregated utility of the whole network.