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The main goal of routing protocol for wireless sensor networks is energy-efficiency. By reducing the hops and data quantity in data transmission, the lifetime of nodes can be prolonged, and the communication is guaranteed. However, these nodes around the sink will be exhausted easily because of high traffic load. Sink mobility can be used to prolong network lifetime. Aiming at this problem, this paper proposes a new routing algorithm supporting sink mobility. This algorithm uses cluster-based model to implement the mobile sink routing protocol, and the sink moves based on the average energy in each cluster. Simulation results indicate that the proposed EEMSRA (an Energy-Efficient Mobile Sink Routing Algorithm) is energy efficient and energy balanced, it can provide longer lifetime as compared to other algorithms.