Based on the finite element software as calculation tool, Mohr-Coulomb yield criterion and Drucker-Prager yield criterion were converted to equivalent area circle yield criterion, the elastic-plastic large deformation finite element method (FEM) was adopted, at the same time strength reduction technology combined with convergence criterion, catastrophe criterion and plastic zone penetrability criterion was used, and the problem of 2-D slope stability was analysed. Then based on finite element reduction strength method and three criterions, the homogeneous slope safety factors were calculated. The results showed that equivalent area circle D - P yield criterion was suitable for slope stability analysis and that strength reduction technology could be applied in simple homogeneous side slope stability analysis.