Abstract: A vehicle parking structure particularly well adapted for providing a parking capacity of up to about 20 vehicles has a structure framework with an entrance/exit level and a plurality of parking level floors, each of the floors having a pair of parking bays located on opposite sides of an elevator shaft. Vehicles to be parked are driven onto a vehicle tray, which is raised and lowered by means of an elevator in the elevator shaft. The elevator includes a shifter on which the tray is supported which allows the tray to be cantilevered outwardly from the elevator at a parking level. With the tray so cantilevered outwardly, the tray is incrementally lowered to rest on a pair of tray supports in the desired parking bay. The shifter is then retracted and the elevator can be raised or lowered to another level as required. To retrieve a vehicle, the elevator and shifter is positioned incrementally below the identified tray, and the shifter is extended into the bay.