This study's main purpose is to analyze the flexural buckling behavior of light gauge built-up compression members jointed by self-drilling screws based on the energy method. A non-conventional mechanical model that simulates the flexural buckling behavior of the built-up member was proposed, and the contradictions of Bleich's model was described. A simple design formula that directly reflects the built-up member's parameters was derived based on the proposed model. Furthermore, the required stiffening rigidity and the required number of self-drilling screws are proposed to ensure flexural buckling as a unit member.