In this paper, an efficient voice/data integrated access algorithm for future personal communication networks (PCNs) is proposed and analyzed based on an equilibrium point analysis (EPA) method. A practical wireless communication channel may be impaired by noise and multipath distortion, and thus corrupted real-time packets have to recompete immediately in order to be transmitted within the stringent delay constraint. Also, real-time traffic users have to transmit their packets irrespective of the amount of non real-time data messages so that heavy non real-time traffic does not degrade the quality of real-time traffic. In the proposed algorithm, request subslots are distributed in the beginning of every slot to reduce access delay of real-time traffic. Moreover, slots are assigned to real-time traffic first and the remaining idle slots are assigned later to non real-time traffic by using the scheme of contention separation. We analyze the throughput and delay characteristics of this system based on an EPA mothod, and validate their performances by simulations. This scheme can support different quality of services (QoSs) imposed by different services efficiently and show good quality of real-time traffic, especially voice packets, no matter how heavy non real-time traffic is.