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Has the same problems as the traditional wireless LAN, wireless mesh networks (WMN) is anticipated to resolve the limitations and to significantly improve the performance of ad hoc network. In fact, differs from that of planning other wireless networks, such as cellular systems WLAN, design such a WMN to cover in a given region can be a non-trivial task. To solve the optimization problem of routing algorithm is effectively and significantly. This paper presents the capability of the neural networks (NN) as a computational tool for solving constrained optimization problem, arising in routing algorithms for WMN. Then we used the method to design WMN in a campus of Guizhou University.