This paper investigates experimentally and numerically behavior of twelve Normal Concrete (NC) and Steel Fiber Reinforced Concrete (SFRC) columns, with cross section 150 mm×150 mm and 1800 mm height, when subjected to axial and eccentric compressive loads. The main parameters of the current study are the volume fraction of steel fiber (0%, 0.25% and 0.75%) and the eccentricity of the applied compressive loads (0 and 75 mm). Moreover, half of the specimens were partially wrapped with CFRP sheets in order to investigate the effect of confinement on columns axial behavior. Finite element models were conducted using ABAQUS to verify the experimental results and to investigate the effect of using CFRP as full confining technique. The variations of steel fiber percentages coupled with the CFRP partial confinement under eccentric loading, resulted in an increase in the compressive strain.