Abstract: A vehicle parking apparatus comprises at least one lift platform (12) which can be brought to parking boxes (11) provided in rows in different stories of a multi-story car park and on which at least one movable vehicle carrying pallet (13) can be arranged. The vehicle carrying pallet is formed by two box-like wheel supporting beams (14) which extend in the direction of travel and which have a length corresponding to the wheel base of the vehicle types to be accommodated and also a lateral spacing corresponding to the track widths of the vehicles to be accommodated. The wheel supporting beams (14) are in the form of an inverse U with outwardly directed angled portions (15) at the lower longitudinal edges and plates (16) which connect the lower longitudinal edges together as well as longitudinal roller arrangements (17) at the front and rear ends. At least one cross-beam (18, 19, 20) is provided at the front and at the rear of the wheel supporting beams.