The purpose of this paper is to carry out a response evaluation of passive control structure with viscous dampers considering its performance decrement under long-period ground motion. An analytical model of the viscous damper that considered the performance decrement caused by long-period cyclic loading was proposed in this paper, and its accuracy was confirmed by comparing with test results. The time history response analysis using 20-storey model with the proposed viscous dampers was performed. It was verified that the response of the passive control structure with viscous dampers increases under some long-period ground motions.