A sliding device (13), guided on the ceiling (3) or under the floor (7) of a cabinet (1) with a rail element (19), which allows a sliding door (15) to be synchronously pulled away from the closet (1) in a parallel manner and then slid. In order to also guide the lower edge of the sliding door (15), the motion of the sliding door can be transmitted from the upper edge of the sliding door to the lower edge by a transmission shaft. No cavities or guide grooves have to be formed on the cabinet (1) or the floor (7), ceiling (9), side walls (3), or partition wall (5) thereof.