A parametric study is applied to determine the effects of rocking foundation input motion (RFIM) on the nonlinear behavior of SDOF elasto-plastic structure considering soil-structure interaction (SSI). A new lumped parameter model considering SSI is constructed based on the results of the thin layer method (TLM) for different embedment ratios of foundations taking place on homogeneous elastic half-space. After that the soil-structure model is analyzed under some earthquake records. Consequently, it is claimed that by increasing ductility factor values, the effect of RFIM becomes more important especially for high-rise buildings having deep embedment ratios. The reason of this phenomena is considered that equivalent elastic stiffness of superstructure becomes softer for increasing values of ductility capacity, therefore the additional force coming from the rocking input motion becomes more important than inertial interaction for the response of the superstructure.