This paper investigates the effectiveness of Continuous Spindle Speed Variation (CSSV) technique as a chatter suppression strategy in milling process. On this purpose, a twofold study was carried out: on the one hand, a simulation analysis, and on the other, experimental tests. First, Semidiscretization method has been extended to n-mode systems in any spatial directions and modified to include simulation capabilities concerning spindle speed variation with different waveforms.. A new kind of stability map for different amplitude and frequency variations is proposed in order to optimise the parameter selection when machining. Finally, the effectiveness of CSSV technique is verified through experimental tests.