In the presented study, a theoretical method is proposed for the determination of the load deflection curves of reinforced concrete columns subjected to biaxial bending and axial load. The proposed method can be applicable to the polygonal sections consisted of various reinforcing steel configurations. In the proposed procedure the nonlinear behaviour of the materials are considered. Therefore, the concrete compression zone is divided into segments for the computation of concrete stresses. The proposed procedure has been compared with the results of square and L-shaped reinforced concrete columns tested under biaxial bending and axial load. The theoretical load deflection curves computed using test parameters of concrete compression strength, yield strength of steel, cross section properties and eccentricities of column specimens have been compared with the experimental curves and the results are found to be in good agreement.