A numerical investigation was performed based on the Reynolds-Averaged Navier-Stokes(RANS) equations for the two-dimensional unsteady incompressible flow around a vertical axis turbine(VAT) with NACA0012 and NACA0018 wing sections. FLUENT was used as a numerical tool to predict the flow filed around the VATs and the performance of the VATs. CFD analysis using FLUENT was carried out at several angles of attack for NACA0012 and NACA0018 wing sections and the results were compared with the corresponding experimental data for validation and calibration of the numerical analysis results. The VATs with 3, 4 wings were adopted to determine the characteristics of the change in the number of wings. The results of the numerical analysis were compared each other to determine the characteristics of the VATs according to the thickness variation of the wing section.