Abstract: In the next generation Internet,there will be more and more applications that re quire both quality of service guarantees and multicast transmission. From the st andpoint of performance and implementation,users and network service providers c an both benefit from the integration of DiffServ and multicasting, as DiffServ i s a scalable solution for supporting QoS in the Internet while multicasting prov ides a method for conservation of network bandwidth. However,the integration of DiffServ and multicast becomes difficult due to the fundamental differences betw een them. Problems existing in DiffServ multicast provision and several solution s proposed in recent years are detailed and discussed,classified and compared. P ossible future directions in this research area are pointed out.