Abstract: An exact motion equation for core-wall suspension structure systems was establish by using the Lagrange equation. Considering the effect of large displacement with nonlinearity, the seismic dynamic response time history of the system was solved by the Runge-Kutta method. Calculation results show that the system can significantly decrease the inter-storey drift, velocity and acceleration, and the seismic mitigation efficiency is approximately 90%. Sectional bending stiffness has the most significant influence on the sectional force and translational deflection, and the sectional force increases with increasing sectional bending stiffness. However, suspender length and the damp coefficient of storey dampers have little influence on the sectional force. The damp coefficient has optimum values to the inter-storey drift and sectional force. The storey drift, velocity and acceleration exhibit monotonous decrease with the damp coefficient.