When multiple electromechanical actuation systems work in parallel to drive a load, if the position outputs of each actuator are not consistent, it will cause force fighting that are detrimental to safety. Therefore, the positions of the actuators in each channel should be kept synchronized in real time. The multi electromechanical actuation system for aeroengines uses position-velocity-current three-loop control for each actuator. Based on this, this paper introduces a position deviation coupling synchronization algorithm, integrating each actuator as an organic whole. When any actuator experiences a position deviation, all actuators adjust accordingly, ensuring real-time synchronization during the actuation process. A simulation model was built in the Matlab/Simulink environment, and simulation studies were conducted on two factors that easily cause desynchronization: speed feedback deviation during the system's large-stroke operation and load differences. The simulation results demonstrate the effectiveness of the synchronization algorithm proposed. Finally, an experiment was conducted, and the results showed that the multi electromechanical actuation system using the synchronization algorithm proposed in this paper has good steady-state and dynamic performance; under no-load and load conditions, the system has good real-time synchronization accuracy during the actuation process.