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Wireless Mesh Network is a promising technology to construct backbone of vehicular network where multi-path communication can be used effectively to communicate between vehicular clients and Internet gateways. The performance of such network can be increased using high-gain smart antennas and beam-forming technology. The mesh access points use multi-interface multi-beam smart antenna technology to communicate with vehicular clients and neighboring access points. MAC layer channel access and scheduling is an important issue in this network architecture such that the interference is minimized among different communications. In this paper, a dynamic TDMA channel access mechanism based on HiperLAN/2 is designed to improve network capacity using efficient beam-scheduling. Simulation result shows the efficiency of the proposed scheme in terms of network throughput, end-to-end fairness and cumulative packet transmission ratio.