Abstract: The transmission principle of how to transmit motion and energy to one or several rotors with eccentric masses by means of the principle of vibration is called Vibratory Synchronization Transmission (VST). The revolutions of the rotors which have been brought into synchronous motion are usually the same as the frequency of the vibrating system For instance, suppose that two vibrating motors with eccentric masses are fixed on one vibrating system' and they have been running in step. Though the electric supply of one of the motors is cut off' it may continue to keep rotating because of the vibration of the sys-tem under the given conditions. In this paper the synchronization criterion and the stability criterion of the synchronous state to realize VST are obtained. It's practically significant to carry out theoretical research and experiments on this new principle.