Based on a conventional walking-beam pumping unit, a dual-beam pumping unit for increasing stroke and reducing force is presented, and an approach involving computer kinematic and dynamic simulation of this pumping unit is introduced in this paper First, all three-dimensional parts are constituted and assembled to create a three-dimensional virtual mechanism of the dual-beam pumping unit for increasing stroke and reducing force. Second, all necessary joints are constituted, and all prescribed loads and input rotation are exerted onto the relative joints of the virtual mechanism. Finally, some simulation curves of the displacement, velocity, acceleration of the sucker rod, the working force exerted onto some key joints, and the driving torque of the crank from the three-dimensional virtual mechanism are obtained The simulation results prove that the stroke of the sucker rod is 4:5-fold compared to a conventional walking-beam pumping unit, while the driving torque of the crank and all working forces exerted onto the key joints are notably reduced