A clutch controller that transmits appropriate torque during engaging operation of a clutch. An actual torque obtaining section obtains torque transmitted from a drive-side member of the clutch to a downstream mechanism in a torque transmission path as actual transmission torque, the downstream mechanism including a driven-side member of the clutch. A target torque obtaining section obtains torque that is supposed to be transmitted from the drive-side member to the downstream mechanism in the torque transmission path as target transmission torque. A clutch actuator control section actuates an actuator by an actuation amount according to a difference between the actual transmission torque and the target transmission torque.