A clutch for a vehicle may include a first rotor locked to a rotating shaft controlling rotations of the first rotor; a second rotor rotatably provided on the rotating shaft; a clutch part inclinedly protruding from the second rotor toward the first rotor, wherein an outer circumferential surface of the clutch part is configured as a conical surface; an inner ring rotating along with the first rotor; a cone rotating along with the second rotor; an outer ring rotating along with the first rotor; and a sleeve rectilinearly slidable at an outside of an outer circumferential surface of the first rotor along a direction of the rotating shaft to press the outer ring toward the second rotor, forming friction surfaces between the outer ring and the cone, between the cone and the inner ring, and between the inner ring and the clutch part.