Abstract: A vehicle elevator and conveyor arrangement in a parking building of the kind in which the vehicle is intended to be conveyed in the building without the assistance of a driver. The conveyor arrangement includes a so-called transfer carriage which is intended to raise and lower all wheel of the vehicle and which can be moved in a horizontal plane in the building and also in a vertical direction by means of the elevator arrangement, which elevator arrangement includes an elevator platform for supporting a transfer carriage. Each of the stories or floors of the parking building on which a transfer carriage (31) is intended to be moved is provided with two parallel rails (50, 51) which form a horizontal transfer-carriage conveyor path or track (71). One or more elevator shafts (61, 62) are positioned along the longitudinal extension of the rails.