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The robust design of the airfoil is to achieve the goal that the airfoil is insensitive to external noise factors, enabling the airfoil to achieve high performance and stability. After several decades of research and development of airfoil design, the commonly used airfoil robust design mainly adopts wind tunnel and numerical simulation, but they also have the disadvantages of high cost and large calculation amount. By studying the modeling method, an airfoil robust design method based on partial least squares (PLS) is proposed. This method is used to select 11 design variables (10 shape design variables and Mach number) for the reference airfoil RAE2822. After a robust design, compare it to the drag coefficient of the reference airfoil. The results show that the mean and variance of the drag coefficient of the robust airfoil obtained by partial least squares replacement model are reduced by 44% and 82%, respectively, compared with the reference airfoil, and the aerodynamic performance is better and the performance is more stable. The use of partial least squares instead of model for airfoil robust design has the characteristics of low cost and fast calculation speed, and can meet the basic accuracy requirements of the results, and has practical application value.