The invention relates to an industrial truck, in particular a tri-lateral stacker. The industrial truck may include a lateral pusher having a degree of freedom of movement that is oriented laterally, transversely to the main direction of travel of the industrial truck, and a lateral push drive device that can be controlled by a control device of the industrial truck for moving the lateral pusher along a lateral push frame. The industrial truck may include a device for reducing transverse vibrations, such as vibration components that are transverse to the main direction of travel of the industrial track. In a vibration-damping operating mode, the lateral push drive device can be operated as a component of the device for reducing vibrations, wherein the device allows the lateral pusher to move relative to the lateral push frame so as to reduce vibrations.