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Anycast is a new type of communication service, and has been defined as a standard communication mode of the IPv6. With the more and more application need of anycast service, anycast routing problem (ARP) has recently become an important topic to study. An anycast routing algorithm based on genetic algorithm and particle swarm optimization is proposed in this paper. The algorithm overcomes the disadvantages of GA and PSO, has faster convergence and can escape from local optimum. The simulation results show that our algorithm achieves better QoS performance and advantage over single GA and PSO algorithm.