Based on the equilibrium matrix theory and optimization theory, the design method of the prestress force of suspen-dome structure was presented. Then dynamic properties of the suspen-dome structure were investigated by the modal analysis with different prestress force values and different section of the upper single-layer dome. At last, the earthquake response analysis was carried out to discuss the basic behavior of the suspend-dome under earthquake loading and the dynamic responses between the single-layer dome structure and suspen-dome structure were compared. The results show that the natural frequencies of the suspen-dome will increase when the prestress forces of the cables increase. And the effect of the prestress force on the natural frequencies of the suspen-dome structure becomes smaller while the stiffness of the upper single-layer dome increases. The tensegric system (cable-strut system) of suspen-dome structure decreases the maximum stresses in most of elements by comparing the results of the seismic analysis of the suspen-dome structure and single-layer structure.