Abstract: The Ježek method can be used for the elastic-plastic buckling analysis under axial compressive load and bending moment. This paper analyzes the ultimate buckling load of an H-shaped column with flange externally wrapped by carbon fibre using the Ježek method, and the analytical expressions about the neutral axis are derived. Through a comparison with the FEM results, the analytical method is proved to be valid. It is also observed that larger bending moment results in larger plastic zone and larger reinforcing effect of carbon fibre. It is demonstrated that the carbon fibre on the surface of steel member may significantly increase the ultimate carrying capacity.