The structure of the seat proper of a vehicle seat comprises: a frame for a seat proper, the frame including a side cheek plate; and a coupling system comprising a link mounted to pivot on a base to enable the seat proper to move at least vertically relative to said base. The coupling system has a first latch surface.The seat structure further comprises an anchoring element provided with a second latch surface.The anchoring element is mounted to move on the cheek plate between a locked position and an unlocked position.