A multi-plate clutch for coupling a drive shaft of a motor vehicle engine in a drive train having at least one transmission input shaft. The clutch includes a counter plate for introducing torque from the drive shaft and a clutch plate for conveying the torque to the transmission input shaft and having a first lining ring for torque transmission and a second lining ring that is movable axially relative to the first lining ring for torque transmission. A separator plate is movable axially relative to the counter plate and is positioned between the lining rings. A contact plate is movable axially relative to the counter plate by an actuating element to frictionally compress the clutch plate. The first lining ring is positioned between the contact plate and the separator plate in the axial direction, and the second lining ring is positioned between the separator plate and the counter plate.