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Quality communication over the wireless channel is now promised because of the advent of the broadband wireless. High speed data access is expected to be provided to subscribers through broadband wireless access. We propose a joint Call Admission Control (CAC) and Bandwidth Allocation (BA) for an IEEE 802.16 based WiMAX system. The presented schemes aim to provide QoS support along with a fair resource allocation algorithm for nrtPS traffic. Two strategies for CAC namely Conservative and Non-Conservative have been proposed. Conservative CAC guarantees the QoS requirements for all classes of traffic but is more restrictive and less efficient than the Non-Conservative CAC. The performance for proposed schemes has been studied through both analytical models and simulations.