Taking the characteristics of multi-constrained QoS (Quality of Service) routing in NGI (Next Generation Internet) into account, a hybrid intelligent multicast QoS routing algorithm based on PSO (Particle Swarm Optimization) and GA (Genetic Algorithm) is presented. In this paper, the corresponding model and its mathematical description are introduced. Combining fast searching ability of PSO and global optimization ability of GA, the multi-constrained QoS (such as bandwidth, delay, delay jitter and error rate) multicast routing problem is solved. Simulation research and performance evaluation have been done over some actual and virtual network topologies. It has been shown that the proposed algorithm is both feasible and effective.