This paper is to make an elastic dynamic time history analysis on a steel-concrete composite structure under the effect of frequent earthquake. And it reveals the collaborative performance of steel frame and RC frame under the seismic motion effect by studying time history response of the parameters like base shear, base bending moment, structure top acceleration and displacement of the structures under the seismic motion effect. The results show that for the steel-concrete composite frame structure under the seismic motion effect, its maximum base shear, maximum bending moment, structure maximum top acceleration and maximum displacement do not occur at the same time, and dynamic response of the top steel frame acceleration, displacement and other parameters increase more significantly than the lower RC frame, while Steel-concrete composite structure may produce resonant phenomenon with earthquake vibration.