The broadband high-efficiency muffling tube structure based on non-Bragg resonance is characterized in that the tube wall of the tubular muffling tube undulates periodically, and the undulating change of each cycle means that the inner wall of the tube is composed of adjacent concave-convex ring-shaped undulations, each change The width of the period is equivalent to the size of the average radius of the muffler tube, the frequency of the incident wave is audible, and the mode and direction of the incident wave are arbitrary; the muffler tube contains more than 5 periods. By changing the parameters of the periodic tube wall, such as the number of periods, the size of undulations, etc., the muffler volume of the muffler can be controlled. Through the selection of its pipe wall period, the anechoic frequency band can be changed according to actual engineering needs. In practical engineering applications, it can also be combined with other resistive noise reduction methods to improve the sound absorption effect. Furthermore, this structure can also be used as an acoustic filter.