Compact multi-tier parking garage (1) and method for storing vehicles (6) in such a parking garage. A multi-tier parking garage for vehicles having at least one tier (3) with at least one parking space (2) for one parked vehicle, an elevator (5) having an elevator platform (7) for supporting a vehicle movable between at least two positions, vertically aligned with the tier for allowing a vehicle to be transferred from the elevator platform to the parking space of the tier and from the parking space to the elevator platform. The elevator platform is rotatable to positions aligned with an entry (24) and an exit (25) such that vehicles can enter and leave driving in a forward direction.