The invention discloses a thermoacoustic oscillation suppression device based on a variable-volume damping gas storage for a liquid helium container. The thermoacoustic oscillation suppression devicecomprises a capillary tube, a gas storage sleeve, the damping gas storage, a moving plate, a screw rod fixing bearing, a ball screw, a nut pair, a screw nut fixing plate, a scaleplate, a gas storage fixing plate and a pressure sensor, wherein a corrugated pipe is adopted for the damping gas storage, so that the gas storage has the characteristics of being resistant to high pressure and high in sealing performance, and change for the volume of the damping gas storage can also be realized by virtue of the axial scalability of the corrugated pipe. Manual or automatic adjustment can be carried outon the volume of the gas storage according to the different use working conditions of the liquid helium container, so that the optimal suppression effect of the device for the thermoacoustic oscillation of the liquid helium container is guaranteed.