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4G supports various types of services. The coverage of high-speed data service is smaller than that of low-speed data service, which make the high-speed data service users occur dropping before reaching the handover area. In order to solve the problem, this paper proposes A Coverage-based Handover Algorithm for High-speed Data Service (CBH), which extends the coverage of high-speed data service by reducing source rate and makes these users acquire ";transient coverage";. Meanwhile, FSES (Faint Sub-carrier Elimination Strategy) is introduced, which utilizes the ";transient handover QoS"; and reduces the handover effect to target cell for high-speed data service users. The simulation results shows that the new algorithm can improve the whole system performance, reduce the handover dropping probability and new call blocking probability, enhance the resource utilization ratio.