An angular indexing apparatus for a machine tool includes a rotating shaft, to which a rotationally driven member is secured; a housing, which surrounds the outer periphery of the rotating shaft and which is mounted to and removed from the body of the machine tool; bearings disposed between the housing and the rotating shaft; and driving means, disposed between the housing and the rotating shaft, and rotating the rotating shaft to index an angular position. The driving means includes drive motors, each having a motor rotor and a motor stator concentrically disposed around the rotating shaft in the housing. The drive motors are disposed in series and separated from each other in an axial direction of the rotating shaft. At least one of the housing and the rotating shaft is such that portions thereof are connected to each other so as to be capable of being divided from each other in the axial direction of the rotating shaft. The housing and the rotating shaft are made to correspond to the plurality of drive motors respectively, to connect portions thereof so as to be capable of being divided from each other.