In a system for providing an IPTV service, if a multicast address of an IPTV channel received from a head-end is a multicast address requested by a mobile node through a tunnel, an end router confirms a care of address (CoA) of the mobile node corresponding to the multicast address of the IPTV channel, sets the multicast address in the first header of broadcasting traffic, sets the CoA of the mobile node in the second header of the broadcasting traffic, and then sends the broadcasting traffic.