This study investigates a new type of recentering damper system combining a shape memory alloy bar with initial tension force is proposed to improve the recentering of frictional damper dissipating energy. The recentering damper is a damper device with improved energy dissipation capability as well as a reduction in maintenance and reinforcement cost, and can be said to be a low-cost, high-efficiency damper device conforming to domestic reality. For the implementation of the theoretical mechanism for the recentering damper device, various parameters were selected and the theoretical and detailed design were carried out. In order to verify the design validity of the recentering damper, a high dimensional finite element analysis model was fabricated and analyzed using cyclic load. As a result of comparing and analyzing the behavior response of the recentering damper, it proved its superiority in terms of energy dissipation ability and stability. Based on these results, we propose an optimized system design method of recentering damper.