In this paper, we consider the queueing performance of periodic polling services for VoIP in an IEEE802.16 system, which is modeled by an M /G/C type queue with periodic batch service. We carry out an analysis for this system, using a generating function approach with supplementary variable technique. As a service discipline, the size of batch, the transmission duration in units of frames, i.e., contiguous frames, and the vacation period correspond to the bandwidth assigned to a subscriber station and the period to poll other subscriber stations, respectively. In numerical examples, the mean queue lengths are given, according to various system parameters.