Wireless Mesh Networks (WMNs) are a promising technology that could revolutionize the way wireless network access is provided. We allocate the available bandwidth in wireless mesh network to reducing the energy consumption of a user using the AODV protocol. the AODV protocol to reducing energy consumption using the improving parameters are throughput, end to end delay, network overhead, energy spent, packet delivery ratio. The bandwidth allocation using greedy algorithm and gateway load balancing routing protocol. In this paper Genetic Algorithm used for providing solution in optimization problem.Topology of wireless mesh networks with more no of nodes is routed using genetic algorithm with proposed approaches and parameters such as end to end delay, throughput, energy spent, packet delivery ratio.finally comparison done between greedy algorithm and genetic algorithm.