A differential velocity vane pump driven by Fourier noncircular gear was designed and the blades of pump were equipped the check valves in the same direction of rotation. Through the establishment of non-circular gears Fourier model and instantaneous flow models and design of the simulation software, we analyzed the influence of the three typical parameters on the shape of the section curve, the flow rate, displacement, pump structure and single or double pump, check valve on the blades to the pulsation rate. Dual pumps in parallel driven by the Fourier non-circular gear were compared with that driven by the eccentric gear to reduce pulsation rate 10.3%. And the installation of the check valve can solve the problem that the liquid trapped in closed chamber.