Provided is a hybrid-vehicle clutch control device that ensures precise clutch torque control by temporarily engaging a clutch device when the clutch has been kept disengaged for a prescribed duration. Said clutch control device is provided with an engine, an automatic transmission, and a clutch device and has a clutch actuator, a slave cylinder, and a clutch-engagement-holding control unit. Said clutch actuator contains: an output rod that is stroked by an actuator; and a master cylinder that is actuated by the stroke of the output rod and generates hydraulic pressure by closing an idle port that leads to a reservoir. The slave cylinder, which controls the engagement and disengagement of the clutch device, is connected to the master cylinder via a connecting channel and is actuated by the hydraulic pressure generated by the master cylinder. If the clutch device (14) remains disengaged for a prescribed duration while running on motor power, the clutch-engagement-holding control unit actuates the master cylinder in the direction whereby the idle port is opened and temporarily holds the clutch device in the engaged state.