The work aims to achieve high-speed, high-precision, high-automation printing process, and improve the quality of printing products. With set type gravure printing register system as the research object, the structure of shaftless driven gravure press was analyzed, and the detailed analysis of the basic principle of multi-axis synchronous control was conducted. Based on that, an adjacent cross coupling control method was put forward, and the specific control model of the algorithm was given. The control method not only compensated the tracking error of each shaft itself, but also compensated the synchronization error between the two adjacent axes. The simulation and experimental results show that the control algorithm has fast convergence speed and high stability, and it realizes the synchronous coordinated control of multi-motors of the electronic shaft transmission of gravure press.