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An important advantage of cold-formed steel is the great flexibility of cross-sectional profiles and sizes available to structural steel designers. However, this flexibility makes the selection of the most economical section difficult for a particular situation. In this study, Micro Genetic Algorithm(μ-GA) is used to find an optimum cross section of cold-formed channel and lipped channel columns under axial compression at centroid of cross section. Axial strength and flat-width-to-thickness ratio of web, flange, and lip are considered. The design curves are generated for optimum values of the thickness, the web flat-depth-to-thickness ratio, the flange flat-width-to-thickness ratio and the lip flat-width-to-thickness ratio for columns. The optimum design curves presented in this paper can be a valuable guide to structural engineers.