Abstract: The innovation of coal-rock crushing method and the development of new cutting tools and equipment are the leading foundations for achieving efficient excavation of rocks lane. To enhance the adaptability of cutting tool to cut coal-rock in complex geological conditions, the influence law of teeth shapes（spherical, prismatic, and cylindrical） and tooth spacing（tooth number） of disc cutter on the load of vibration cutting coal-rock is explored. Based on the Hertz contact theory, the load calculation methods of spherical, prismatic and cylindrical teeth blades to compress coal-rock are given respectively; taking Mohr-Coulomb criterion as the failure condition of coal-rock, and the load expression of coal-rock under the action of cutter wedge surface is established based on Nishimatsu coal-rock shear crushing model; the load model for vibration cutting coal-rock by toothed disc cutter is constructed using the vector superposition algorithm; the load correlation characteristics of vibration cutting coal-rock under different teeth shapes and tooth number are simulated and analyzed; vibration cutting coal-rock experiment with spherical toothed disc cutter is carried out; the theoretical, simulated, and experimental loads of toothed disc cutter are comparative studied. The results show that with the increase of cutting thickness and coal-rock strength, the stress area of toothed disc cutter vibration cutting coal-rock gradually expands, but its effect on both sides of coal-rock is relatively small; the influence of tooth shape（relative to tooth number） on the radial load of the cutter is not significant, while the bluntness of cylindrical tooth blade is relatively large; the radial load and tooth number of toothed disc cutter approximate a concave parabolic law, which decreases first and then increases; when the cutting thickness is small, the influence of tooth number is relatively obvious; within a certain range, with the coal-rock strength increases, the tooth number increases correspondingly, which is more conducive to cutting; under different cutting thicknesses, the average errors of theoretical, simulated and experimental values of radial load of spherical toothed disc cutter are 5.44%, 10.49%, respectively; which verifies the rationality of theoretical and numerical models of vibration cutting coal-rock with toothed disc cutter. The results lay a foundation for studying different vibration cutting coal-rock with toothed disc cutter and the influence of tooth shape on cutter wear, temperature and dust.