A chassis stacker having a first and a second vertical storage rack displaced from one another by a distance wide enough to accommodate a trailer chassis, and connected at a top end by a trolley rail support beam. A trolley is positioned on the trolley rail support beam, said trolley having an elevation system capable of raising and lowering a first and a second stabilizing beam that are suspended from the trolley and guided in their vertical motion by low-friction, storage-rack contact members attached at respective first and second ends of the elevating structure, said contact members in contact with an inner surface of the respective first and second vertical storage racks. A first and a second stabilizing-beam trolley is attached to the, respective, first and second stabilizing beams while a spreader containing a chassis-clamping mechanism extends between and attaches to the first and the second stabilizing beam trolley.