Using a time history analysis method the nonlinear characteristics of the response of slope dynamics were studied, employing criteria such as the safety factor of the soil strength, ground peak acceleration, and earthquake energy with a threshold based on the influence of these parameters on the nonlinear slope dynamics characteristics. The study results showed that for some rock and soil materials, displacement, velocity, and acceleration of the slope dynamic response which are strongly correlated show obvious nonlinear characteristics. It was found that each study particle had a unified waveform and there was a significant displacement lag and velocity variation in the relative seismic acceleration. Particle acceleration was synchronous with the seismic acceleration. The peak ground acceleration, input direction, and duration threshold variations were within the slope safety coefficient, and the distribution of plastic zone appeared to have an influence on slope safety.