An apparatus includes a clutch control unit to control a control amount of a clutch and a brake to temporarily stop an output side rotating body while the clutch is disconnected. A clutch-control-amount detector detects the control amount of the clutch and an engagement start detector detects an engagement start of the clutch when a rotational speed difference between the input side rotating body and the output side rotating body becomes equal to or less than a predetermined value. An engagement-start control-amount detector detects the control amount of the clutch in the engagement start and a clutch-correction-control-amount deriver derives a correction control amount of the clutch based on the control amount of the clutch at the time when the engagement start is detected after the output side rotating body is temporarily stopped. The clutch control unit feedback-controls the control amount of the clutch based on the correction control amount.