Abstract: An aerodynamic optimization design for turbine airfoil was developed using adaptive Kriging surrogate model, during which the airfoil geometry parameterization was realized with Bézier function and CFD method. Searching process of the surrogate model was improved, and the airfoil geometry was modified through controlling via Bézier control points, so as to automatically achieve optimization design of the leading edge of turbine blade. Results show that that higher pressure recovery coefficient and better aerodynamic performance are obtained after aerodynamic optimization of the airfoil, which proves the optimization model to be reliable and effective.