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Next Generation Wireless Systems (NGWS) will provide a variety of services to mobile users including high speed data, real-time applications and real-time multimedia support with a certain quality of service (QoS) level. An efficient handoff management is one of the key issues in order to support global roaming of the mobile users among different network architectures of the NGWS.In this paper, a new call admission control scheme, Geneticbased call admission control (GAC), is proposed for NGWS. The GAC scheme uses genetic algorithms to achieve high network utilization, minimum cost, minimum handoff latency and mobile terminal's (MT) QoS requirements. Performance analysis is provided to assess the efficiency of the proposed GAC scheme. Simulation results show a significant improvement in handoff latencies and costs over the heuristic approach and other CAC schemes.