Due to hydraulic, mechanical, electromagnetic and other reasons, vibration will inevitably occur during the operation of the hydroelectric generating set. As the supporting structure of the hydroelectric generating set, the stability of the pier is very important. In this paper, the whole model of the pier, volute, draft tube and foundation is established. The amplitude of any part of the pier under the resonant load can be obtained by numerical simulation. On this basis, the response surface method is used by statistical method. The two parameters of the inner diameter and thickness of the pier are taken as the design variables, and the information weight method is used to replace the maximum amplitude of the pier in the vertical, radial and circumferential directions with a comprehensive objective function, and the comprehensive objective function is used as the optimization objective. The response surface model is established and the pier model is optimized. The results show that the maximum amplitude of the optimized pier in the vertical direction is reduced by 17.8%, the maximum amplitude in the circumferential direction is reduced by 4.7%, and the maximum amplitude in the radial direction is reduced by 1.4%. The recommended value range of the inner diameter of the pier is 1.73D1 - 1.83D1, and the recommended value range of the pier thickness is 0.50D1 - 0.63D1. The optimization design method of response surface can be effectively applied to the vibration reduction design of hydropower station pier. [ABSTRACT FROM AUTHOR]