We propose the finite-state Markov channel (FSMC) model to the throughput analysis of DS CDMA/unslotted ALOHA for two user classes wireless networks in the mobile environment. The previous papers in DS CDMA/unslotted ALOHA networks in Rayleigh fading FSMC do not consider dividing system users to two user classes and access control. The proposed DS CDMA/unslotted ALOHA wireless networks for two user classes with access control can maintain maximum throughput for the high priority user class under high message arrival per packet duration.