To provide a control device of a starting clutch, restraining vibration generated in a vehicle, especially the vibration generated in starting and re-accelerating.

In this control device of an electromagnetic multi-disc clutch, a control means includes: a torque transmission characteristic setting part for setting a torque transmission characteristic varying with the detected traveling state to the calculated target fastening torque; and a phase compensating part for acting a numerical expression model of a target vehicle on the inverse system of a numerical model of one's own vehicle, the control means performs current control on the basis of a phase compensation value of phase-compensating the preset torque transmission characteristic, and the torque transmission characteristic setting part sets the torque transmission characteristic varying with the detected vehicle speed.