The principle that a non-powered motor rotates synchronously as a powered motor is called vibratory synchronization transmission. A dynamics model is set up for a vibrating bedstand of three homodromy exciters, , and then the steady-state response and average torque equilibrium equations of system are derived. Finally, the synchronization criterion, the stability criterion of vibratory synchronization and the vibratory synchronization transmission state are obtained. Meanwhile, the experiments proceed on the condition of 50Hz power-supply frequency, with the hall sensor measuring system. The image of phase differences is acquired before and after cutting off motor No.2 and No.3. The experimental results verify the effectiveness of the theory and method, which provides the basis for the application of Multi-exciters vibratory synchronization machines in vibratory synchronization transmission.