Abstract: PRMA with multiple voice priority is investigated in this paper Analytical model is conducted and computer simulation is carried out, and equilibrium points analysis (EPA) method is used for its performance evaluation. The analytical and simulation results indicate that the PRMA can support the VBR voice traffic and low-bit-rate VBR data traffic. It is shown that if the number of high priority voice terminals exceeds a threshold, the PPRMA system will be blocked.