Grinding vibration is usually caused by regenerative chatter of workpiece or abrasive wheel. The mechanism of variable-parameter grinding method to suppress chatter is discussed in this paper. A new idea of Limited Random Feed Method (LRFM) which satisfies the conditions aforementioned to suppress grinding chatter is proposed. The result of experiment shows that the method suppresses chatter remarkably. Moreover, it lays an important foreground to be applied in engineering for numeric control grinding.