With the explosive growth of mobile data demand, millimeter-wave (mm wave) bands are a favorable technology to support high data rate communication. The IEEE 802.15.3c standard is an attractive candidate for millimeter-wave carrier frequencies for short-range indoor applications. Providing a detailed analytical model of the medium access control (MAC) layer gives prominent information to improve network performance. In this paper, a novel comprehensive analytical model based on the two-dimensional Markov chain for hybrid MAC of IEEE 802.15.3c standard has been proposed. The M/G/1 and M/D/1 queue have been considered for the unsaturated region of the Channel Time Allocation Period (CTAP) and Regular Contention Access Period (RCAP)area. One of the main contributions of this paper is extracting mathematical equations from the novel model. Extracting mathematical equations provides a methodology for analyzing the Quality of Service (QoS) parameters of the IEEE802.15.3c MAC standard. The most essential analytical parameters are queue size, waiting time, queue saturation boundary and system instability, as considered clearly in this paper. In addition, the throughput calculation is put forth for the RCAP and CTAP areas. OPNET simulation validates our represented analytical model. In this paper, our proposed model is shown much more accurately than other articles.