A wireless mesh network system generates at least one virtual node within a transmission area of a specific mesh node when no mesh nodes exist in two or three continuous quadrants within the transmission area with reference to the specific mesh node. Also, the system performs routing by combining uplink and downlink routing methods so as to support unicast between the mesh nodes in a domain. Further, a channel access order of the mesh nodes is determined based on the potential values allocated to the mesh nodes forming the wireless mesh network according to the field theory. In this instance, the channel access order can be established by a central control method by a central processor for controlling the wireless mesh network or a distributed control method using contention per mesh node.