A sheave support apparatus for an elevator includes a car frame and a sheave support member. The car frame supports a car, and has a beam extending in a horizontal direction. The sheave support member rotatably supports a pair of sheaves around which cables pass, and is attached to the beam to extend in the horizontal direction in a state of crossing the beam of the car frame. The sheave support member includes a first support beam and a second support beam. The first and the second support beams are fixed to the beam of the car frame in a state of holding the beam therebetween from above and below. The sheaves are supported between respective end portions of the first support beam and respective end portions of the second support beam.