This book provides a new framework for analysis of slope nonlinear shastic seismic dynamic response based on the new theoretical tool of shastic dynamics. The coupling effects of uncertainty of geological parameters, strong dynamic nonlinearity, and randomness of ground motion are considered in the process of the seismic dynamic stability assessment of slope. In this book, an intensity frequency non—stationary shastic ground motion model based on time—domain shastic process description is preliminarily established to characterize the randomness of earthquakes. The spatial distribution random field model of geotechnical parameters is established to describe the time—space variability of geotechnical parameters. Based on the basic theory of shastic dynamics, the seismic stability performance evaluation method of slope is established. The slope seismic dynamic model test based on large complex shaking table is performed to verify and modify the proposed framework and method. This book sheds new light on the development of nonlinear seismic shastic dynamics and seismic design of slope engineering.