Aiming at the problem of working noise of drilling vibrating screen, a method of applying a damping layer to the side plate of the drilling vibrating screen box to reduce its noise radiation was proposed. Through the vibration model of the screen box, the vibration mode and the acoustic radiation of the side plate before and after the damping of the side plate were analyzed by the finite element method and the modal strain energy method, and the influence of different materials and different thicknesses of damping layers on the surface noise radiation of the screen box was compared and analyzed by using COMSOL. Studies have shown that the surface damping structure can reduce noise radiation. Applying harder materials can play a certain vibration restraining role on the side panels. It is necessary to select the best thickness according to the material properties to achieve the best vibration and noise reduction effect.