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A medium access control (MAC) protocol is proposed to use asynchronous transfer mode (ATM) network over the wireless network. The proposed MAC protocol achieves the advantages of both distributed access and centralized control to transfer constant bit rate (CBR), variable bit rate (VBR) and available bit rate (ABR) traffic efficiently over a wireless channel. Reservation minislots are used for access requests governed by slotted Aloha protocol that uses two separate groups of contention minislots with adaptive length for real-time and non real-time services in order to improve the quality-of-service (QoS). The proposed protocol introduces a novel resource allocation strategy based on the requested bandwidth and QoS. Simulation results indicate that the proposed protocol can achieve 98% channel utilization with guaranteed QoS requirements to a variety of ATM applications.