Abstract: This paper presents a simple numerical deterministic approach for analysis of stochastic response and dynamic reliability of retaining structures under the stationary random seismic activity.The method is based on general FEM software for structure dynamic analysis.A numerical equivalent unit impulse function is used as an input of seismic load.After the impulse response function of the structure was obtained,a transfer function between the random excitation and response of the structure was adopted to calculate the mean square response and peak response by the Fourier transform.The random seismic response and dynamic reliability of retaining structures including displacement,moment,horizontal and vertical resultant forces on the base,earth pressure along the back of wall are calculated.The results show that Kanai model was more conservative than Ou-Jinping model.Assuming the passage of the response process to a given level as a Markov process was more precise than a Poisson process.