FFD (free-form deformation) technique was applied to achieve the parameterization of RAE2822 transonic airfoil. Then the method of DoE (design of experiment) was used to obtain the sample values of design parameters by CFD (computational fluid dynamics) numerical simulation. Lastly, the optimization analysis was carried out by using the Kriging surrogate model and MIGA, NLPQL optimization algorithm. The CFD values with optimized design parameters were regarded as the final results. The results show that the FFD parametric method can directly realize deformation on airfoil mesh. Compared with original airfoil, the lift-to-drag ratio of optimized airfoil increases by 57.2%, therefore, the proposed method is feasible and effective.