A driving apparatus for an elevator includes rotary elements disposed in such a manner as to be in contact with a circumferential surface of an input shaft adapted to be rotationally driven by an electric motor device so as to rotate as the input shaft rotates, a cylindrical element disposed in such a manner as to be in contact with the rotary elements on an inner circumferential surface thereof so as to rotate as the rotary elements rotate, and a sheave provided on an outer circumferential side of the cylindrical element and configured so as to be wound therearound with ropes for lifting up and/or down a moving cage of the elevator. A brake device is disposed in a radial direction of the sheave for braking a brake disc constructed so as to extend in the radial directions and secured to the sheave.