The paper mainly studied the strength criterion and collapse criterion of FEM with strength reduction.Starting from the basic principle of strength reduction method,it reduced some strength parameters of slope by reduction factors, combined theory analysis and numerical calculation, and studied some influences of strength rule and collapse criterion through comparison and analysis.The results show that the more the radius of a circle surround by strength criterion on plane ,the greater the safety coefficient of slope becomes.The paper compared the safe coefficient with that from limit equilibrium method and that is near to the result from the strength criterion of equal-area circle.The result indicated that the solution based on the collapse criterion of the plastic region breakthrough is close to Bishop's solution, the safety coefficient of convergent standard is too large.