The present application discloses an equipment for continuously processing a band-shape material comprising transverse sliding shafts disposed on a base table, a basal board which freely slides transversely along said transverse sliding shafts, transverse-feeding means by which said basal board is quickly and/or slowly moved transversely, vertical sliding shafts disposed on said basal board, a tool of abrasion in combination with elctrolytic polishing which freely slides vertically along said vertical sliding shafts, vertical-feeding means by which said tool is moved vertically against said basal board and a polishing head which is disposed on said tool and composed of electrodes for electrolysis and abrasive matters for abrasion and by which continuously sent band-shape material is polished. In the case a band-shape material being conveyed is continuously polished for many hours, worn-out abrasive matters may be exchanged without interrupting the conveyance of said band-shape material, improving the working efficiency thereby.