Abstract: Grinding chatter exacerbates the wear of grinding wheel and sacrifices the grinding quality of the workpiece,even damages the grinding machine. In order to avoid the occurrence of grinding chatter and impr ove the grinding efficiency,grinding chatter experiments are implemented and the natural frequency-band energy ratio R of grinding chatter vibration was selected as the characteristic of grinding chatter. Based on the developing tendency estimation of this characteristic,a prediction method of grinding chatter was put forward based on the ARIMA model. ExperimentalResultsshow that this prediction method can forecast the occurrence of grinding chatter accurately and rapidly.