The extended Internet group management protocol (EIGMP) is a method which allows simultaneous reception of channel streams being broadcasted for other users in shared networks. Recently, implementation of EIGMP in gigabit Ethernet passive optical network (GEPON) was suggested to reduce the channel change response time (CCRT) especially for Internet protocol television (IPTV) systems. In this paper, we extend EIGMP in gigabit-capable PON (GPON) with a cross-layer approach. With the proposed method, the CCRT in GPON can be reduced by up to 10.3% in comparison with that of traditional IPTV systems.