Because the forging hydraulic press is influenced by many internal and external factors,its double-cylinder synchronous control accuracy cant meet the requirements of working conditions.In view of this problem,taking the traditional double-cylinder synchronous control system as the research object,the kinematics model of the hydraulic cylinder position control system was established,and the backstepping controller was designed based on Lyapunov stability theory,which was applied to the parallel synchronous control structure.The AMESim and Simulink joint simulation models of double-cylinder synchronous control system based on backstepping controller and PID controller were built respectively,and the joint simulations were performed.The results show that:compared with PID controller,the maximum synchronous error of backstepping controller is reduced by 62.3% and the setting time is reduced by 26.96% in terms of step response,and the hysteresis of backstepping controller is significantly reduced in terms of sinusoidal tracking ability,which can meet the requirements of double-cylinder synchronous control.