The invention relates to a driving mechanism and a lens anti-shake device, the driving mechanism is provided with a driving rod and an SMA wire, the driving rod is provided with a power input end, a power output end and a transfer part, and the distance from the power input end to the transfer part is smaller than the distance from the power output end to the transfer part; the transfer part provides a fulcrum for synchronous rotation of the power input end and the power output end; one end of the SMA wire is connected with the power input end of the driving rod, the other end of the SMA wireis fixedly arranged, and the SMA wire provides actuating force to drive the power input end of the driving rod to rotate, so that the power output end synchronously follows rotation and enlarges the rotation arc length. In the lens anti-shake device, the power output end acts on the lens carrier, so that the lens carrier rotates around the optical axis of the lens, the optical anti-shake functionis realized, and the use performance of the lens is improved. The driving mechanism is small in size, the driving structure is simplified, the requirement for product miniaturization is met, large-stroke anti-shaking is achieved through the lever principle, control is easy, convenient and accurate, and the driving mechanism is suitable for application and popularization.