In this paper, we respectively established the polyhedral and hexahedral volume mesh models, and used CFD method to calculate the aerodynamic characteristics of a wind turbine airfoil under the S-A and SST k-ω turbulence model.The calculated result was compared with wind tunnel test data.It was discovered that the calculation results under SST k-ω turbulence model were more close to the wind tunnel test than S-A turbulence model.And the results showed that choosing better quality hexahedral mesh could get more accurate simulated result than polyhedral mesh.Wind tunnel test or CFD method could reasonably be applied to the aerodynamic characteristics calculation for a real wind turbine airfoil.