In this paper, based on kanai's model,a modified random process model of earthquake ground motion is presented by taking the bedrock acceleration as a Markov's one and the soil layer as a single-degree-of-freedom filter. Then, from, the view of engineering aseismic desigr, the paremeters in the model, the stationary duration, spectral factor and strength envelope function, respectively corresponding to the earthquake intensity degree and site soil class and directively to the earthquake magnitude, epicentra...