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In this paper, we propose a call admission control scheme for supporting voice and data traffic in hierarchical cell structured networks (HCS). The proposed scheme guarantees to satisfy the required quality of service for both traffic types in accordance with their characteristics, such as mobility and delay constraints. In the proposed scheme, slow and fast voice traffic are allowed to overflow from one layer to another in the case of shortage of resources in the preferred layer. Due to their high bit rate, data traffic are not allowed to overflow between layers, therefore data traffic would stay in the originating layer. However, a buffer is available in each cell to serve handoff data traffic. The proposed scheme is analysed using a multi-dimensional Markov chain, and QoS measurement parameters are derived. Analytical results show significant improvements in terms of the blocking and dropping probability.