There is described a motor-vehicle seat having a head-rest (6) which is adjustable both in height and in a way in which it tilts around a transverse axis with its lower edge more or less forwardly displaced. The backrest (3) is further provided with a padding module (50) which can be connected rapidly to the supporting body (4) of the seat and includes a skeleton (52) with a flexible arched spine (57), with adjustable arching, and strengthening transverse ribs (58). <IMAGE> <IMAGE>