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Today, carbon polymer fibers wrapping are widely used in retrofitting weak and damaged members such as bridge piers and columns of buildings. Columns reinforced with this method enjoy more ductility and energy absorption than other methods, especially the steel shells. The wrapping plays a role in lateral confinement of concrete that can increase the axial compressive strength of the concrete and prevent early failure of columns. This paper performed cyclic loading analysis of thin circular columns with three full wrapping arrangement, middle area arrangement and initial and final arrangements. Results showed that a sample with full wrapping has higher and more regular cycles and greater area under the curve than the other two samples (longer pushover curve); however, the optimal retrofit is using the middle wrapping.