The work aims to enhance the reliability and control accuracy of the system for the synchronous control over the multi induction motor speed, and improve the production efficiency and product quality of printing industry. Based on the adjacent cross coupling control structure and by means of the strong anti-turbulence and the attainability within limited time of the fast terminal sliding-mode control, a fast terminal sliding-mode synchronous control strategy based on adjacent cross-coupled multi induction motor was proposed. Through analysis on the simulation results, the system, compared to the traditional adjacent cross coupling control, had smaller synchronous errors and higher synchronous control accuracy under the action of the proposed control method. The proposed control strategy can improve the synchronous tracing performance and anti-disturbance performance of synchronous control system for the multi induction motor, and enhance the synchronous coordination control ability of its shaftless driving.