Many resource allocation schemes have proposed to maximize the bandwidth utilization for Orthogonal Frequency Division Multiple Access (OFDMA) system. However, none of them meets the burst structure characteristics required by the WiMAX 2 standard. Moreover, the downlink map is used to schedule the downlink radio frequency between the Base Station (BS) and the Subscriber Station (SS), it saves all the information of bursts in the front of downlink sub-frame. When the size of downlink map increases, the allocated bursts in the downlink sub-frame have to reassign. This paper proposes a downlink resource allocation scheme in WiMAX 2 networks. Since the best-quality sub-channels of some connections may conflict, a novel algorithm, Enhanced Hungarian Algorithm (EHA), is proposed for each connection to select its bestquality sub-channels for a better Modulation Coding Scheme (MCS), and to construct proper number of bursts under the limit of downlink map size. The simulation results show that EHA has higher throughput than previous methods.