In a coupling device which is disposed between left and right wheels of a vehicle, pair of differential gears are provided. First rotational elements of both the differential gears are coupled to each other, and second rotational elements are respectively coupled to left and right wheels of the vehicle. A third rotational element of one of the differential gears is driven for rotation by a driving source. The third rotational element of the other of the differential gears is made switchable by a switching device between a state in which the third rotational element is prevented from rotating and a state in which the third rotational element is coupled to the first rotational element or the second rotational element of the other of the differential gears. Otherwise, the third rotational element of the other of the differential gears may be arranged to be always prevented from rotating. In this arrangement, the first and second rotational elements of the other of the differential gears are selectively coupled via the switching device to the wheels, or the first rotational element of one of the differential gears is selectively coupled via the switching device to the first and second rotational elements of the other of the differential gears.