IEEE 802.11 Wireless Mesh Networks are used widely in commercial and civilian applications. Most importantly, wireless mesh networks are used as last-mile broadband Internet access technology so that user can experience wireless broadband high-speed Internet connectivity. Usually, a router in wireless mesh network has at least two radio interfaces: access interface and routing interface. As the radio spectrum has limited number of orthogonal channels, the two radio interfaces must be assigned with channels having low interference and maximal non-overlapping frequency to improve the network performance. This paper proposes a new scheme of channel allocation based on fuzzy logic for wireless mesh networks. A mesh router uses four parameters: channel access delay, signal to interference ratio, link bandwidth and hop count from gateway node to rate the channels and the router selects a best channel in improving the user quality access. Through the simulation results, it is observed that the proposed scheme is scalable and has a significant performance.