The objective of this study is to investigate experimentally the effectiveness of FRP confined system to strengthen RC columns subjected to eccentric loads. Therefore, an experimental program including eight rectangular RC columns is set-up and tested under eccentric compression load in one hand to evaluate the suggested strengthening technique applied to strengthen RC columns using wrapping Carbon Fiber Reinforced Polymer CFRP sheets and in the other hand to study the effect of the eccentricity on the strength and ductility. Two type of confinement was applied in this study: fully confinement FC and partially confinement PC. Compared with the control ones, the strengthened columns showed an improvement in the obtained strength and ductility. The improvement in the compressive strength of the strengthened columns under eccentric loading is so pronounced as for that under concentric loading, particularly for higher eccentricity. Regardless of the type of confinement, partially wrapped or fully wrapped, the gained strength increased as the eccentricity increased. Moreover, the author suggested an analytical model to predict the effective FRP hoop strain. The predicted results obtained according to the proposed model showed a reasonable approach to the results obtained experimentally