Taking the stability of the camshaft high-speed grinding process system as the research object, the dynamic model of the camshaft and grinding wheel and support system of the grinding system is established. Through theoretical analysis and numerical calculation to identify the dynamic influencing factors of the grinding force, such as cam profile curvature radius and instantaneous grinding depth. Based on the established grinding dynamics model, the Matlab/Simulink flutter simulation model is built, and the corresponding grinding process parameters combination is selected from the stability blade diagram for numerical simulation analysis. The stability of the vibration displacement time domain map is simulated, which is compared with the grinding stability region of the stability leaflet, the effectiveness of the grinding dynamics model and numerical simulation method established is verified in this paper.