In this thesis, we proposed a call admission control algorithm (CAC) and an adaptive allocation of resource algorithm (AAR) for 3G wireless multimedia data transmission. The proposed CAC algorithm uses a measurement-based method by measuring real-time network load to modulate the parameters of the CAC algorithm and to decide whether to accept a call or not. When a call is admitted, the proposed AAR algorithm uses a low complexity algorithm to adaptively allocate bandwidth for the call to improve resource utilization. Taking advantages of the proposed CAC and AAR algorithms, the desired quality of service (QoS) can be maintained, the call forced termination probabilities can be reduced, and the call completion probabilities can be increased. In addition, there are a variety of types of data in 3G wireless communication networks. To set a proper priority for different data to maintain a desired QoS is important. Therefore, we also proposed a scheme to set priority for each call. On the basis of this scheme, simulation results show that the proposed CAC algorithm and the AAR algorithm can forward the call with higher priority to get relative higher QoS, and guarantee that an emergency call can go through and complete at any time in a normal situation.