Aiming at the problem of cutting noise of five different specifications of diamond circular saw blades, the modal analysis and traveling wave vibration analysis were carried out by Workbench software, and the influence of nose-shaped radial grooves, holes and interlayers on the traveling wave vibration of saw blades was studied. The analysis results show that the traveling wave resonance occurs in the conventional saw blades with diameters of 180 mm and 230 mm, resulting in strong noise. Conventional saw blades with a diameter of 115 mm and 350 mm do not exhibit traveling wave resonance. The δ value of 180 mm and 230 mm saw blade is too large, which effectively avoids traveling wave resonance. The δ value of 115 mm and 350 mm saw blade is too small, which leads to poor noise reduction effect. The δ value of 105 mm sandwich saw blade is too large, and the noise reduction effect is good. In this paper, five kinds of design schemes of radial groove, raindrop hole and damping interlayer are proposed. The δ values are 8.13 %, 7.21 %, 6.01 %, 6.39 % and 7.00 %, respectively. The traveling wave resonance is further avoided and the noise reduction effect is better.