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Abstract: In this paper, we present an alternative design, Eff-MM (Efficient Mobile Multicast), for efficiently supporting multicast for mobile hosts on the Internet. Recently, providing multicast services to hosts becomes popular and many multicast protocols have been proposed for mobile hosts. But the delivery tree whenever a member moves occur will the problem, either a non-optimal delivery route and overheads caused by the frequent reconstruction of a multicast routing tree. To solve problem like this, in this paper used the tunneling range and search method to routing paths around migration places withy simple message. The result provides the shortest routes for delivery of multicast datagrams to mobile hosts and reduces frequent reconstruction of the multicast tree reconfiguration.