In this paper, a distributed mobile relay power control (DMRPC) scheme for maximizing individual cell throughput is proposed for mobile relay station (MRS) aided system. In the system with DMRPC, the power levels of MRSs are controlled by individual cell without cell cooperation and signaling overhead, and the appropriate power levels of MRSs are selected to maximize the cell throughput of their individual serving cell. It is demonstrated by numerical simulation that DMRPC provides the better cell throughput performance than either the full power MRS aided system or conventional system without MRS does. Moreover, it is shown that the MRS aided system with DMRPC outperforms the full power MRS aided system in average cell edge throughput. Finally, it is also verified that MRS aided systems with DMRPC and the conventional system without MRS have almost identical average cell edge throughput performance, while full power MRS aided systems show worse performance in cell edge throughput performance than the system without MRS.