A brake apparatus is provided for braking a vehicle wheel, and includes a brake member rotated integrally with the wheel, a friction member mounted on the vehicle to be in contact with the brake member, a rotation member rotated integrally with the wheel, an electric motor, and a differential shift device. A motion converter is provided for converting a rotating motion of the motor into a thrust motion of the friction member to be pressed onto the brake member. For example, one of three components of the differential shift device is movable in response to rotation of the rotation member, another one is movable in response to rotation of the electric motor, and the rest is movable in response to operation of the motion converter.