The invention relates to a multi-disk clutch or multi-disk brake (1, 2), comprising an inner disk carrier (4) carrying internal disks (3) and an outer disk carrier (6) carrying external disks (5), friction linings (7, 7′) on the internal and external disks (3, 5), a first end disk (9), on which a closing force for the multi-disk clutch or multi-disk brake can be applied by a piston (10) of a piston-cylinder arrangement which can be actuated by a pressure medium, and a second end disk (8), which forms an axial abutment for the clutch pack (14) formed by the disks (3, 5, 8, 9), wherein the multi-disk clutch or multi-disk brake (1, 2) and/or the components encompassing the clutch or the brake are configured such that the internal and external disks (3, 5) can be wetted with a cooling oil (13). So as to improve heat dissipation during operation, it is provided that the multi-disk clutch or multi-disk brake (1, 2) is configured such that the cooling oil (13) can be directed axially through the clutch pack (14).