The invention relates to a polishing device (1) for polishing a metal product (2), in particular a continuously cast slab, billet, or block. The aim of the invention is to achieve a high polishing rate when said metal products are polished. According to the invention, this is achieved in that the polishing device (1) has at least two polishing assemblies (3, 4), each polishing assembly (3, 4) having a mounting (5, 6) for a polishing unit (7, 8). A polishing unit has at least one polishing disk (9, 10) and a driving motor (11, 12) that drives the polishing disk (9, 10). The polishing disks (9, 10)arranged such that the rotational axes (A, B) of said disks run parallel to each other.