To overcome the limitation to simulate thestructure under earthquake with tests and threedimensional finite element method, it is important to search for damage and degradation factors and the degradation characteristics in component stage to improve the accuracy of member model. ABAQUS is used and the nonlinear finite element model is proved correct and applicable by the existed steel frame connections quasstatic tests at home and abroad. By a large number of parameters analysis, the local buckling cumulative damage phenomena of steel frame connections is further discussed and local buckling cumulative damage degradation distribution curve is obtained. Due to analysis of influence factors, the connections strength degradation is acquired which is a powerful tool for member model analysis considering of damage and degradation. The results show that the panel zone strength and thickness ratios of plates have significant impact on failure mode of connections. By local reinforcement to change the connections failure mode can effectively improve the ductility and energy dissipation, prevent weld cracking that will lead to early damage and fast degradation under large earthquake which would seriously affect the overall mechanical properties of the structure.