The invention concerns a grinding or polishing device (1) comprising a support (2), capable of being driven in displacement, having a first end surface (3) against which can be positioned a grinding or polishing sheet (4) including an inner surface (5) designed to be positioned against said first end surface (3) of said support (2) and an outer grinding or polishing surface (6), said device comprising means for retaining said sheet (4). The invention is characterized in that said retaining means consist of a layer (7) positioned against the first end surface (3) enabling renewable adherence by cleaning said layer (7) with renewable adherence.