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CAC (call admission control) scheme plays an important role in the QoS guarantee of wireless multimedia network. Lots of CAC schemes aim to satisfy QoS requirement and upgrade network utilization, but they ignore the fairness principle in network. Directly and simply using these schemes, it will appear the phenomenon of unbalance that the narrow band calls block the broad band calls. The common method used to resolve fair problem is resource reservation method, but it will decrease the network utilization. So, this paper proposes a novel fair call admission control scheme. Differing from resource reservation method, the new scheme introduces call hold control method to overcome unfair problem between narrow band calls and broad band calls. Numerical results show that the new scheme effectively improves network utilization and decreases CBP (call blocking probability) especially when the network carries heavy traffic load. Simulation results also show that the average waiting time of users is much less than their waiting time thresholds and users could receive the service in a short waiting time.