Abstract: A vehicle transporting arrangement for transporting a vehicle in a parking building automatically from a drive-in module to a parking space (27), wherein the arrangement includes a first carriage (1), a so-called transfer carriage, which can be moved on and between different parking floors or storeys of the parking building and which includes a second carriage (2) and a third carriage (3), each of which includes lifting devices (4, 5, 6, 7) for lifting and supporting a pair of vehicle wheels, the second and third carriages being positioned sequentially in a direction perpendicular to the direction of movement of the first carriage on a parking floor and being movable in relation to the first carriage at right angles to its direction of movement on a parking floor. According to the invention, at least one of the second and the third carriages (2, 3) includes drive wheels (10) and drive elements for moving the carriage in relation to the first carriage (1).