On account the progress of network multimedia technology, more and more real-time multimedia applications arrive with the need to transmit information using multicast IP communication. These applications are more important with arrival of mobile IPv6 protocol with mobile members and require a multicast routing protocol which has packets arriving to members within a specified QoS guaranteed and a quick recovery mechanism. Multicast IP is a bandwidth-conserving technology that reduces traffic by simultaneously delivering a single stream of information to a group members. Internet research community has proposed many multicast routing protocols to support efficient multimedia application, expect that they were developed for multicast parties whose members are topologically stationary. The mobility of multicast receivers or senders may lead to serious problems, when a receiver or sender moves, the quality of full multicast tree may degrade hens multicast datagrams cannot be forwarded efficiently.D2V-RPM (delay and delay variation RP Manager) problem consist of choosing an optimal multicast router in the network as the root of the Shared RP Tree within a specified delay and delay variation bound, and recovering this RP if it’s off optimal. This NP hard problem needs to be solved through a heuristic algorithm. In this paper we propose a new RP Management algorithm based on PGRAS Procedure. 2DV-PGRASP-RPM selects and recovers the RP by considering cost, delay and delay variation functions and can be easily integrated to bootstrap RP protocol used by PIM-SM protocol. Simulation results show that good performance is achieved in multicast cost.