Piles have been used effectively in many applications that effect on the one hand the improvement of soil characteristics and increase its bearing capacity and on the other hand reduce settlements especially in the case of foundation reinforcement already existing. However, the geometrical characteristics of piles, namely small diameters and long lengths can induce the appearance of the buckling phenomenon when using this type of foundation. Pile buckling is currently a very important issue for engineers and researchers in the field of soil improvement and foundation reinforcement work. In this study, numerical eigenvalue buckling of fully embedded single pile in a homogeneous soil is investigated by using three dimensional finite element analysis. Numerical results are verified by comparing with published results and show a good correlation.