Recently, the demand for the seismic retrofit to existing buildings increased due to earthquake damage. And related researches are increasing in response while the researches considering the various design parameters such as strength and stiffness ratio between the existing structures and retrofit system are insufficient. Therefore, in this study, existing structure and reinforcing frame for damper are designed having different natural periods each other by setting the parameters related to strength and stiffness ratio between two systems and are analyzed by nonlinear dynamic analysis.