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This paper proposes QoS Mesh routing protocol for IEEE 802.16 based wireless mesh networks. QoS Mesh Routing Protocol proposed in this paper is a proactive hop-by-hop QoS routing protocol. The goal of our protocol is not only to find routes from a source to a destination node, but also optimal routes that satisfies QoS requirements, given in terms of bandwidth and delay as default QoS parameters. In this paper, we first analyze possible types of routing protocols that have been studied for MANET and show proactive hop-by-hop routing protocols are the most appropriate for wireless mesh networks. Then, we present a network model for IEEE 802.16 based wireless mesh networks and propose a proactive hop-by-hop QoS routing protocol. Through our simulation, we represent that our routing protocol outperforms QOLSR protocol in terms of end-to-end delay, packet delivery ratio and routing overhead.