Abstract: Abstract Aerodynamic optimization design is a complex problem. The analysis of aerodynamics is an extremely timeconsuming process. In order to reduce the process of aerodynamics analysis, the aerodynamic optimization design needs to choose optimization algorithm which has a better search capability. There are too many optimization algorithms at present. These optimization algorithms have different capability for different questions. In this paper, function optimization is used to judge the convergence stability and convergence speed of different algorithms at present and find the algorithm which is fit for aerodynamic optimization. Then, this algorithm is applied on an airfoil shape aerodynamic optimization problem. The optimization result proves that the evolutionary algorithm has a better search capability.