The fully automatic parking system Levelparker 570 for 10 to 50 cars on up to 5 levels above each other and 2 to 6 platform rows behind each other. The Levelparker 570 provides space-saving parking by moving the cars closer together on one or more levels. At each level the cyle movement for transporting the cars takes place by longitudinal and transverse shiftign of the platforms. A vertical lift connects the transfer area with the parking levels which can be arranged either above or underground. Integration of a Turntable is possible to have the car in forward direction when parking out.