This study aims to address the problem of poor synchronous accuracy when facing a time-varying load in conventional load-sensitive synchronous drive systems. The new electro-hydraulic load-sensitive (EHLS) diverter synchronous drive system was proposed by combining the diverter valve and the EHLS synchronous drive system. The variable pressure margin compensation control was proposed to further improve the system’s synchronous control performance. Based on the system control strategy and component mathematical model, the simulation models of the EHLS, EHLS synchronous, and EHLS diverter synchronous drive systems were established using AMESim, respectively, and the synchronous control performance of the systems was obtained. The simulation results show that the EHLS drive system realized the primary functions of the load-sensitive system and could realize the variable load-sensitive pressure margin control. The EHLS synchronous drive system had poor synchronous control accuracy, but variable pressure compensation valve pressure margin control could be realized. The EHLS diverter synchronous drive system effectively improved the system’s synchronous control performance and diverter synchronous accuracy by variable pressure margin compensation control. The diverter system diverter error was reduced by 40.8%, and the diverter system after the compensation diverter error was reduced by 52.6% when the multi-way valves were fully opening. The system provides the solution for high-performance hydraulic synchronous drives under severe operating conditions.