The flow-pressure complementary synchronous circuit can improve the synchronization precision without increasing any production cost by changing the connection method of diverter valve synchronization circuit. The diverter valve synchronization circuit under constant flow situation and flow-pressure complementary synchronous circuit were built on the basis of mathematical modeling by using the module SIMULINK of software MATLAB. By analyzing the two simulation circuits’ dynamic response curves under partial load condition, the significant increase of synchronization precision and response time of the flow-pressure complementary synchronous compared with diverter valve synchronization circuit is verified, which provide the theoretical reference for practical engineering application of the flow-pressure complementary synchronous circuit.