Abstract: n order to study the influence of foundation soil on eccentric structure, this paper sets up the simplified foundation-asymmetric structure interaction model and derives the main influencing factors and their ranges that influence the structure’s elastic response by solving the lateral-torsional coupling equation of the foundation-asymmetric structure interaction system. The parameters’ elastic influencing rules derived by time-history analysis coincide well with analytic solutions, which verify the effectiveness of the time-history analysis. Through using the time-history analysis, this paper studies the laws how the parameters influence the inelastic seismic response. It produces local amplification of relative displacement by comparing the inelastic seismic response with the elastic seismic response. The conclusions provide references for the design and calculation of asymmetric structures under earthquake.