The invention relates to the field of plunger pumps, in particular to a pulseless plunger pump. The pulseless plunger pump comprises a motor, a pump body, a driving shaft, push plates, main membranes and a diverting seat, wherein the driving shaft, the push plates, the main membranes and the diverting seat are arranged in the pump body. The power end of the motor is connected with the driving shaft. The driving shaft is provided with a cam. The number of the push plates is two, and the two push plats are arranged on the two opposite sides of the cam and abut against the cam. The push plates are connected to the main membranes through guide rods. The pump body is provided with a feeding port and a discharging port. An independent material containing cavity is formed by the diverting seat and each of the two membranes. The feeding port and the discharging port communicate with the two material containing cavities independently. The feeding port and the discharging port are each provided with a one-way valve. The two membranes are driven by the guide rods connected with the membranes and alternately extrude the material containing cavities where the membranes are located. By means of the pulseless plunger pump, the pulse curves of the left membrane and the right membrane are ingeniously crossed and overlapped, crests and troughs of the pulse curves compensate for each other, and finally pulseless output is achieved.