The chatter in the follow-up grinding process will affect the quality of camshaft grinding. In order to suppressing chatter，the regenerative chatter model of follow-up grinding based on regenerative chatter theory and the characteristics of follow-up grinding was built，considering the regenerative chatter of both camshaft and grinding wheel. Based on the regenerative chatter model，the stability limit diagram was portrayed to study the regenerative chatter stability of the follow-up grinding. The grinding tests on the camshaft grinding machine were carried out to verify this model. The vibration features of the grinding machine were inspected in both frequency domain and time-frequency domain，and the results agreed well with the stability limit diagram. It testified the regenerative chatter model and feasibility of the chatter predicting and the machining parameters' optimizing by stability limit diagram.