This article provides a review of recent publications relating to buckling analysis of cold-formed profile in bending. Nowadays thin-walled structures offer a promising direction of development of civil engineering in Russia and worldwide and can be used in the construction of a number of structures for various purposes. The rapid pace of the scientific and technological progress, as well as the emerging trends towards rationalization of design and installation works,assign thin-walled structures one of the major roles in modern civil and industrial engineering. The review includes both theoretical works based on the rod and shell modeling of structures and experimental research results. Attention is paid to the publications containing a comprehensive analysis of the problem and including a comparison of analytical and experimental results.