Clutch assembly for being used in a driveline of a motor vehicle, comprising: a first drive part (7, 107), a second drive part (9, 109), a clutch (3, 103) which comprises an axially supported first clutch part (6, 106) and an axially movable second clutch part (8, 108), wherein the second clutch part (8, 108) is movable into an open position in which the first and the second clutch part (6, 8; 106, 108) are freely rotatable relative to one other around a rotational axis, and into a closed position in which the first and the second clutch part (6, 8; 106, 108) are form-lockingly engaged with each other to transmit torque, wherein a clutch profile (10, 110) of the second clutch part and a drive part profile (20, 120) of the second drive part (9, 109) form a form-locking profile connection (29, 129) such that the second clutch part (8, 108) is connected to the second drive part (9, 109) in a rotationally fixed and axially movable way, wherein the drive part profile (20, 120) of the second drive part (9, 109) comprises central flank lines (L20, L120) which are each formed between a tip line (Z20, Z120) and a base line (F20, F120) of the drive part profile (20, 120), characterised in that the drive part profile (20, 120) is designed such that the central flank lines (L20, L120), when rotating around the rotational axis, define a rotational face which comprises at least a tapered portion, wherein the clutch profile (10, 110) and the drive part profile (20, 120) are formed such that upon torque transmission an axial force is exerted from the second drive part (9, 109) onto the second clutch part (8, 108) in direction towards the first clutch part (6, 106). a first drive part (7, 107), a second drive part (9, 109), a clutch (3, 103) which comprises an axially supported first clutch part (6, 106) and an axially movable second clutch part (8, 108), wherein the second clutch part (8, 108) is movable into an open position in which the first and the second clutch part (6, 8; 106, 108) are freely rotatable relative to one other around a rotational axis, and into a closed position in which the first and the second clutch part (6, 8; 106, 108) are form-lockingly engaged with each other to transmit torque, wherein a clutch profile (10, 110) of the second clutch part and a drive part profile (20, 120) of the second drive part (9, 109) form a form-locking profile connection (29, 129) such that the second clutch part (8, 108) is connected to the second drive part (9, 109) in a rotationally fixed and axially movable way, wherein the drive part profile (20, 120) of the second drive part (9, 109) comprises central flank lines (L20, L120) which are each formed between a tip line (Z20, Z120) and a base line (F20, F120) of the drive part profile (20, 120), characterised in that the drive part profile (20, 120) is designed such that the central flank lines (L20, L120), when rotating around the rotational axis, define a rotational face which comprises at least a tapered portion, wherein the clutch profile (10, 110) and the drive part profile (20, 120) are formed such that upon torque transmission an axial force is exerted from the second drive part (9, 109) onto the second clutch part (8, 108) in direction towards the first clutch part (6, 106).