A fixed-position stop control apparatus (10) includes: a move-instruction generating means (22) for generating a move instruction for each control cycle; a position loop control means (25) for position controlling a rotation shaft (61) for each control cycle according to the move instruction generated by the move-instruction generating means; and a speed loop control means (35) for speed controlling the rotation shaft according to one of a speed instruction generated by a higher level control apparatus (45) and a predetermined speed instruction, thereby switching the speed control of the rotation shaft by the speed loop control means to the position control of the rotation shaft by the position loop control means. In this fixed-position stop control apparatus, the move instruction generated by the move-instruction generating means has acceleration smaller than the acceleration corresponding to the acceleration and deceleration ability of the rotation shaft. With this arrangement, time required for the rotation shaft to stop at a fixed position can be decreased.