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In this paper, we propose a novel bandwidth allocation scheme based on Quality of Service (QoS) in satellite networks by using directional antennas. Many important applications, such as audio/video conferencing, require the quality of service guarantee. Directional antennas technology provides the capability for considerable increase in spatial reuse, which increases the efficiency of communication. This paper studies a Time Division Multiple Access (TDMA)-based timeslot allocation scheme by using directional antennas in satellite networks. Simulation results show that this novel bandwidth allocation scheme can improve the call success rate and throughput for satellite system.