Wireless mesh networks (WMNs) are becoming increasingly popular as they have significant advantages over competing technologies. In WMNs, routing algorithms are classified into various categories such as unicast, multicast, and multipath routing algorithms. Due to this classification, we select multicast category to be reviewed in our work. A variety of multicast routing solutions have been proposed in the literature. The aim of this survey is to present taxonomy of routing protocols for wireless mesh networks by illustrating the main features and discussing the key challenges.