Abstract: This paper proposes the finite element iteration method for stability safety factor of the known sliding surface.This method is presented to obtain the safety factor meeting the limit equilibrium condition requirement. This method can be used for 2D and 3D problems and the results include displacement field and the stress field. Two examples of the safety factor against a 2D known sliding surface and a 3D known sliding surface are analyzed. Comparison between the results and the theoretical value it can be demonstrated that the method suggested in this paper is effective, rational and reliable.?