Regenerative chatter causes deterioration of machining accuracy and tool wear. Various studies have been conducted on the suppression of regenerative chatter. One of the active chatter control techniques is the application of spindle speed variation. The variation of the spindle speed during the cutting process can control regenerative chatter, because the variation of the time delay can disturb the regenerative effect. However, the frequency and amplitude of spindle speed variation cannot be extremely high because the impact on spindle life and reliability must be minimized. This work investigates the effect of the workpiece excitation to fluctuate the relative speed between a cutting edge and workpiece at the cutting point on regenerative chatter as an alternative method to the spindle speed variation technique. The time history analysis was conducted to investigate the excitation amplitude and frequency to reduce the regenerative chatter vibration amplitude. It was confirmed increasing the excitation amplitude with increasing spindle speed so that the time delay variation amplitude is equal has the chatter suppression effect even in the high spindle speed range.