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Available WLAN Mesh network access protocols and trusted network connect protocols can not satisfy the performance and security requirements of WLAN Mesh networks in trusted environment. A provably secure trusted access protocol MN-TAP for the WLAN Mesh Networks is proposed. Such protocol will achieve authentication and key confirmation among the access requestor, policy enforcement point and policy decision point within 4 protocol rounds. Meanwhile, the protocol can realize the platform authentication and platform integrity verification in the first round of protocol interaction, which will improve the efficiency of the protocol and decrease the overhead of the server. We use a provably secure model, named the universally composable secure model, to analyze the security of the protocol. And we use of compare analysis to discover the performance advantages of the protocol. The results show that: the protocol is a UC-secure protocol, and the performance has great advantages over the current protocols.