In view of the traditional aerodynamic optimization design without considering the effects of aerodynamic noise,the aerodynamic optimization design method based on noise prediction model was studied in the application of two-dimensional airfoil. The free deformation parametric method,radial basis function (RBF) mesh deformation technology,improved particle swarm optimization algorithm,pneumatic analysis method,and the aerodynamic noise prediction method for the optimization design,the five modules were established and formed a system. Finally,a single-point multi-objective optimization design of two-dimensional supercritical airfoil SC(2)-0714 was carried out. The effect of different airfoils geometry,pressure coefficient distribution,as well as the relationship between the aerodynamic coefficients and overall sound pressure level under different angles of attack were studied. The analysis showed that airfoil geometry could affect its head peak pressure,pressure recovery,adverse pressure gradient and other characteristics,which could change the lift-drag ratio and overall sound pressure level (SPL). And the adverse pressure gradient was closely related to overall SPL.Optimization results show that under the design condition the design system can significantly improve the lift-to-drag ratio,reduce the aerodynamic noise. It thus can be applied in practical engineering design.