Abstract: A method of analyzing of large deflection buckling behaviors and calculating integral bending rigidity of eccentric compression steel members with local damage strengthened with FRP lacks practical was proposed in this paper. Considering the contribution of multiple local damage and FRP,integral equivalent bending rigidity was deduced by using energy approach. Based on the large displacement theory,the large deflection buckling of eccentric compression steel members with local damage by FRP strengthening was studied. The post buckling angle,deflection,load function of eccentric compression steel members was deduced. The influencing rule of damage position,FRP thickness and eccentricity of stability of hollow pipe with local damage by FRP strengthening was obtained. The analysis shows that the effect of damage position,FRP thickness and eccentricity of anti-buckling capability of steel compression members is obvious. And the carbon fiber reinforced method can significantly improve the ability of antibuckling.