A clutch control of a hybrid vehicle can engage a clutch which not otherwise possible due to temporary factors, and can determine whether engaging members of the clutch have been successfully engaged. The clutch control controls the clutch having a pair of the engaging members which are provided in a power transmission path of the vehicle, and which are moved in the axial direction and engaged or released when switching is performed between power from a motor and power from an engine. The clutch control device has a rotation control unit for synchronizing the rotations of the engaging members when the clutch is shifted from a disengaged an engaged state, and a clutch engagement control unit for determining whether the engaging members have been engaged, based on rotational speed of the engaging members a predetermined time after axial movement of the engaging members.