A structure having floors for receiving and delivery of cars, and parking floors. Receiving and delivery floors have slat conveyors with platform carriers placed in slots in the conveyor. Cars are parked by patrons on the platform carriers. After the patron exits the car the conveyor conveys the carrier on which the car is parked to the front of an elevator. A power arm in the elevator draws the carrier into the elevator, and the elevator rises to a parking floor. On the parking floor the elevator power arm pushes the platform carrier with the car on top onto a waiting transfer module, which moves laterally to the front of an allotted parking slot. A power arm on the transfer module pushes the platform carrier with the car on top into the parking slot. Upon the patron's return the car is retrieved as described above but in reverse order.