This paper proposes a new solution to support Internet Multicast for mobile hosts. The proposed algorithm is based on the remote subscription approach of IETF Mobile IP that mobile node re-subscribes to its desired multicast groups while at a foreign network. In addition, we adopt the bi-directional tunneling to minimize the disruption of multicast service due to movement of a host from network to another. This paper also analyzes the handoff latencies and data packet loss amount of our algorithm and compares to other approaches. Our analysis shows that the proposed algorithm has good robustness, scalability and routing efficiency.