A positioning staging apparatus comprises a base provided on a floor, a stage provided on the base and movable to the base, an output unit for outputting stage positioning information for moving the stage to a predetermined target position, a stage drive unit provided on the base for driving the stage and outputting the drive information, a stage control unit for controlling the stage drive unit to accelerate and decelerate the stage in accordance with the stage positioning information to stop the stage at the target position, a stage displacement detection unit for detecting the displacement of the stage driven by the stage drive unit to output the stage displacement information, and an anti-vibration unit provided between the floor and the base for applying to the base a force to suppress the vibration of the base generated by the movement of the stage. The anti-vibration unit generates the suppression force in accordance with one of the stage displacement information and the stage positioning information.