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The demand on high speed Internet access has been rapidly growing due to various multimedia applications requiring high speed data transmission. WiMAX based on IEEE 802.16 standard is one of the most effective technologies among the existing solutions. With the current multicasting technique, the base station receives duplicated multicast IP datagrams via GRE Tunnel, which significantly degrades the network performance. In this paper we propose a new L2 layer multicasting approach which can avoid the duplicated packet problem by utilizing the message exchanged between the base station and subscriber station. Computer simulation with NS-2 reveals that the proposed approach allows much higher throughput and lower packet delay compared to the existing approach.