In this paper, CAC (Call Admission Control) algorithms where decisions are based on total received power for the reverse link in CDMA systems with multiple types of services are proposed. The proposed CAC schemes have advantages in that they have control over the cell load dynamically and guarantee the required SIR, that is, QoS (quality of service). The optimal ratio of required transmission power that achieves the maximum capacity is derived for evaluating the cell load and SIR (signal to interference ratio) reflected in total received power at base stations. Allocation of different thresholds can be made for different services which can be regarded as priority based schemes. Two types of services, voice and data, are considered and the maximum throughput is obtained when threshold values are the same. In addition, the transmitter removal scheme is adopted that eliminates calls when the system does not meet the required SIR. Simulation results are provided to evaluate the performance.