Multiple disc brake comprising a first rotary disc fixed to a hub connected to a rotating member to be braked and at least one second rotary disc capable of sliding axially relative to the hub and to the first disc. A first axial guide sleeve (16) fixed to the first disc (1) is arranged coaxially relative to a second axial guide sleeve (18) fixed to the second disc (2) and is connected to this second sleeve (18) by way of several grooves (22), rolling members (27) being in contact with at least one face of these. The invention is used on multiple disc brakes for land vehicles.
