Abstract: A device for processing the surface of objects (V) such as grinding, polishing and deburring for instance punched workpieces, which device comprises: a transporting surface (2) for receiving the objects for processing, a grinding unit (4) arranged thereabove consisting inter alia of a grinding body (36) extending parallel to the transporting surface, a carrier (5) which supports the grinding body and which is driven rotatably by a motor (21) about at least two standing crank shafts (6) in a plane parallel to the transporting surface, wherein the carrier with the driving is contained in a holder (9) which is upwardly tiltable about a lying shaft (26) so that the grinding body (36) can be easily replaced with a new grinding body and wherein an improved cooling liquid circulation (43, 50, 51) is arranged, whereby the standstill period of the machine is considerably shortened and the grinding or polishing action is improved.