Work conditions and requirements of a container stacker are analyzed. Aiming at the disadvantages of hydrodynamic travel system of stacker, a design method for hydraulic chassis of a stacker is presented. With a practical example, its operation performances under the work conditions of stable travel in low-speed are analyzed. New method to design its travel drive system is presented, it contains the hydraulic system design and component selection. It is considered that the manufacture cost for special hydraulic chassis of a stacker is equal to or lower than that of a hydrodynamics chassis, so there is wide application prospect of it.