An active damping apparatus for damping vibration due to driving of a stage and/or counter-mass mounted on an isolation table in an exposure device for the manufacture of semiconductor devices has a setting unit for selecting the stage and/or the counter-mass to drive and setting a control mode according to what is to be driven. The apparatus further has a control input switch that sets up a control loop for inputting control target values for driving the stage and/or the counter-mass to an isolation table controller so as to offset the drive reaction torque generated by the movement of the stage and/or counter-mass.