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On demand multicast routing protocol (ODMRP) is a typical mesh-based multicast routing protocol for mobile ad hoc network, but its poor scalability limits its application in large scale network. This paper presents a timer forecasting zone based on demand multicast routing protocol (TFZMP) for mobile ad hoc network (MANET). In TFZMP, the network is divided into zones based on timer forecasting mechanism. Mesh structures inside each zone provide good adaptability to network topology changes. Zone division based on timer forecasting mechanism decreases the data overhead of multicast routing and enhances the scalability of the network. The proposed TFZMP protocol is simulated and compared with ODMRP on OPNET. Simulation results show that TFZMP performs better than ODMRP on the aspects of normalized overhead and packet forwarding efficiency at any mobility model.