Abstract: The permanent deformation analysis of foundation and embankemet dam due to earthquake is composed of two parts, the first is determinate analysis,the second is stochastic analysis. In the paper, the earthquake ground motion is simulated as a zero-mean stationary Gaussian process. On the basis of equivalent nodal force model and stochastic seismic  response analysis, a stochastic seismic permanent deformation and dynamic risk analytical method is established, which can predict not only the average maximum value of earthquake induced deformation but also different reliabilities under different  control deformations. At last, a case study on Pubugou embankment dam is  made, and the related conclusions is given.