A multi-plate clutch is disclosed, including an outer plate carrier, an inner plate carrier, and a set of plates of alternately arranged radially between the outer plate carrier and the inner plate carrier and which is delimited by two end plates engaging at opposite ends of the set of plates, wherein each end plate rests against an annular axial supporting contour on the end face facing away from the set of plates, wherein the supporting contours differ in their effective diameter at which the supporting contours contact the associated end plate, and wherein the supporting contours apply an axial force on the set of plates such that the plates are elastically deformed into a conical shape.