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Hydraulic hybrid Power is composed of the hydrostatic pump, high pressure accumulator, low pressure accumulator, switch valve and control system. The mathematical model of displacement servo system of hydrostatic pump and the mathematical model hydraulic hybrid power were built in this paper. The simulation model of controller was also established. The starting and accelerating control strategy for hydraulic hybrid vehicle was proposed and simulated. The dynamic simulation experimental bench was built and the starting and accelerating process of hydraulic hybrid vehicle was tested. The result of experiment proved that the theory of starting and accelerating control strategy was reasonable and that the simulation model was effective.