The nonlinear response of the joints between concrete-filled steel tubular column and steel beams-covered concrete under low-cyclic reversed loading are simulated by using software ANSYS. Using a separated model, element concrete solid65 is used to model concrete material, element shell181 is used to model steel tubular, H-shaped steel beam and stiffened steel ring plate, element link8 is used to model steel bars. The numerical analysis results are compared with the data of the experimental research. The advantages and shortcoming of the finite element model are given. A better numerical simulation method and a use for reference to the similar case are expected to be afforded.