Abstract: The plasticity analyses for stability problems is differentiated from the conventional limit equilibrium method by the former in consideration of the soil's stress-strain relationship.It is a new technique to slope stability analysis.This paper presents in all respects the applications of plasticity theory to slope stability problems,and describes the basic concepts of plastisity analyces.The upper bound solutions on critical height of slope in homogeneous soils concerning straight-line,logrithmic-spiral failure surfaces are obtained.Furthermore,the solutions to slope in anisotropic,nonhomogeneous soils are also obtained.Stability factors presented in this paper would be used for engineering practice.