The invention discloses an electric car driving system with a hydraulic pump system, an electric car and a control method. The driving system comprises a power battery, a power supply distribution unit, a motor controller, a driving motor, an automatic gear box, an electric generator controller, a range extender system and the hydraulic pump system, wherein the range extender system is composed ofan engine, an automatic clutch and an electric generator. According to the embodiment, in the electric car driving system with the hydraulic pump system, the driving motor and an ATM system are adopted, the range extender system provides power for the whole car, and produces power output so as to provide required power for the hydraulic pump system. Due to the arrangement of the automatic clutch,control modes of the hydraulic pump system is added, the control modes comprise the pure dynamic drive mode, the parallel drive mode, the engine driven mode, the generator drive mode and the like, the system control flexibility is improved, and the economic performance of the electric car is improved.