The invention discloses a structure and a method for weakening vibration of an operating mechanism through radial nonlinear transmission of waves. Centrally symmetric connecting pieces which are made of damping materials and have radial bending structures have functions that influence of vibration produced by actions of a circuit breaker operating mechanism and vibration energy transmission are weakened; the centrally symmetric connecting pieces which are made of the damping materials and have the radial bending structures are added in certain positions on a vibration wave transmission path in the operating mechanism to change the vibration wave transmission path, so that vibration waves transmitted in the vibration wave transmission path are transmitted in an annular direction. According to the bending structures, the vibration intensity is further weakened and the vibration energy is further absorbed through forming of standing waves and increase of refraction and reflection of the vibration waves. Through combination use of the damping materials and the bending structures of the centrally symmetric connecting pieces, the vibration wave transmission path is extended, and the vibration wave energy consumed by the damping materials is further increased.