In order to avoid chattering in the process of special grinding machine for ceramic roller, according to the grinding mechanism of ceramic roller, a mathematical model of grinding process for ceramic roller was established. The stable lobe diagram of grinding depth and spindle speed was obtained by MATLAB calculation and analysis, and the grinding quality of ceramic roller grinder was determined. When the cutting depth is lower than 4 mm, there is no chatter and the machine can grind stably. The research results provide reference for stable grinding of special grinding machines for ceramic idlers.