An air-conditioning system for a seat includes a cushion having a cover and two air-conditioned zones proximate a surface facing a seat occupant, and an elongated depression between the zones, the depression having a floor which is recessed with respect to the zones and into which the cover is at least partially drawn into in the direction of the depression floor, the air-conditioned zones being at least partially distanced from the depression. The zones and the depression are connected by a plurality of air-permeable channels, the channels being located between the air-conditioned zones essentially on or above the depression floor. The depression, in the transverse direction, is at least partially air-permeable, despite the cover.