A first engagement member includes a first meshing portion and rotates integrally with a first shaft. A second engagement member includes a second meshing portion configured to mesh with the first meshing portion and rotates integrally with a second shaft. An electric clutch device drives the first engagement member via a pressing member that extends and contracts in response to drive of a clutch actuator. When the electric clutch device is to be engaged, the first shaft command computation unit sets the first shaft rotation speed command value to be smaller than the rotation speed of the second shaft. Further, after the rotation speed of the first shaft matches the first shaft rotation speed command value, the first shaft command computation unit sets the first shaft rotation speed command value to be gradually closer to the rotation speed of the second shaft.