A torque damper for a power unit includes a rotating shaft on which the torque damper is mounted to reduce the axial size and weight. A torque damper for absorbing excessive torque occurring in a torque transmission path between an output shaft of a running clutch and an intermediate shaft includes an input cam member adapted to receive torque of the output shaft and an output cam member. A driven gear adapted to apply torque of the output shaft to the input cam member is provided on the input cam member rotatably supported by the intermediate shaft. In the torque damper, a torque-absorbing portion for absorbing excessive torque includes an input cam portion of the input cam member and an output cam portion of the output cam member and is disposed between a pair of bearings. One bearing is disposed between the input cam portion and the driven gear.