A differential device has a power-transmitting member mounted to undergo rotation in forward and reverse directions about a central rotational axis and to undergo linear movement in a direction along the central rotational axis. The power-transmitting member has meshing claws each having an inclined surface. A pair of driven shafts are mounted to undergo rotation about the central axis. A pair of rotational driven members have meshing claws confronting and for meshing engagement with the meshing claws of the power-transmitting member. When the power-transmitting member rotates to transmit rotational driving power to the driven members, force components acting on contacting surfaces of the meshing claws of the power-transmitting members and the driven members displace the driven members in an axial outward direction away from the power-transmitting member to define therebetween a space to allow axial movement of the power-transmitting member within the space.