Abstract: Rigid limit equilibrium method and strength reduction numerical method play an important role in slope stability analysis，and many important research results have been obtained. In this paper，the theoretical basis and calculation process of the limit equilibrium method of rigid body represented by the simplified Bishop method，Morgenstern price method and general slice method are explained，and series of contrast analysis will be carried out with the calculation principles of other limit equilibrium methods of rigid body such as Sweden Arc method，simplified Janbu method and Spencer method. Then the strength reduction is made from the calculation method，instability criterion and reduction improvement. The research progress of the two methods in engineering application is described. The progress of slope engineering analysis method will promote the slope engineering treatment to the level of refinement.

Key words: Slope stability analysis, Bishop method, General slice method, Strength reduction method, Numerical calculation