It is a sunshade device for vehicle wheels with two opposite guide rails (1, 2) on which a guide element (6) is arranged which can be displaced by means of a drive, with a sunblind (4) which, in a starting position, rolled up in the region of the one ends of the two guide rails (1, 2), and with a tie rod (5) which extends between the two guide elements (6) and is fixed to the end of the Sonnenschutzbehangs (4). The sunblind (4) can be rolled by means of the tie rod (5) by shifting them (5) along the guide rails (1, 2) from the starting position of the one ends of the guide rails (1) to the other ends of the guide rails (2) toward becomes. In a guide rail assembly, wherein the guide rails (1, 2) have a different length and / or the distance of the respectively associated one end and the distance of the associated other end of the two guide rails (1, 2) are different, between the one end of the drawbar (5) and said one guide element (6) an intermediate piece (7; 7 ') is arranged, which is attached with an articulated joint on the connecting rod (5) or the guide element (6) ( 4A ).