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Wireless mesh network (WMN) has recently emerged as a promising technology for next-generation wireless network. In WMNs, many important applications, such as audio/video conferencing and distance education, require the support of multicast communication with quality-of-service (QoS) guarantee. In this paper, we investigate the issues of QoS multicast routing in wireless mesh networks. The paper studies TDMA-based timeslot allocation, and presents an effective heuristic algorithm for calculating end-to-end bandwidth on a path. We also propose a novel source-based multicasting routing algorithm to build a multicast tree among all the multicast members. Simulation results show that compared with MAODV, our proposed QoS routing algorithm can significantly improve the performance of QoS multicast routing in WMNs in terms of success ratio and network cost.