To precisely control clutch torque during clutch slip engagement, a clutch friction model is required. The clutch friction model refers to the actuator motor position to clutch torque relationship in the case of a dry clutch and the actuator piston pressure to clutch torque relationship in the case of a wet clutch. On the other hand, the clutch friction model is changed by uncertainties such as a clutch touch point and a clutch friction coefficient. Therefore, it is necessary to compensate the clutch friction model for precise clutch torque control. In this study, a new adaptive control method of the clutch torque is proposed and compared with a conventional method.