Abstract: The invention concerns a polishing or lapping device comprising a surface whereon parts to be polished are to be applied, with an interposed abrasive suspension, and with a certain pressure. The invention is characterized in that said surface comprises a plurality of recessed parts (1, 16, 17) forming reservoirs for the abrasive suspension independent of one another and said recessed parts (1, 6, 17) are defined by partitions (2, 26, 27) whereof the top walls (20), co-operating with said abrasive suspension, form active zones for lapping or polishing, said partitions (2, 26, 27) having a substantially constant height over the whole surface of the device, before it is used. The invention is useful for polishing or lapping metal parts.