The present invention relates to a method for supporting Internet Protocol version 6 (IPv6) in a wireless communication system. According to an exemplary embodiment of the present invention, a wireless communication system consists of an access router, a bridge, and a base station. The access router allocates a common network prefix to all subscriber stations served by it. When receiving IP multicast data destined for all nodes on the same link, the access router forwards the data back to the bridge. The bridge transmits IP multicast data with reference to an identification cache table (ICT) which includes MAC addresses of each subscriber stations, identifiers for point-to-point connections between the bridge and base station, IPv6 addresses of each subscriber station and valid flags for the IPv6 addresses. The base station provides point-to-point connections to both the bridge and each of subscriber stations.