Disclosed is a clamping device (1) for clamping a toolholder of a drilling, milling or grinding tool in a balancing machine, comprisinga receiver unit (2) having a receiving opening (9) for the coupling shaft of the toolholder and a collet (10), in which the shaft (20) of an actuator (18) for actuation of the collet (10) is slidably guided in a centrally located bore (19) of the receiver unit (2). The shaft (20) has at its one end a load-applying body (22) upon which a plurality of compression springs (30, 31) take support to enable the collet (10) to be tightened. The compression springs (30, 31) are arranged and/or configured in such a way that the spring loads acting on the load-applying body (22) with the collet (10) tightened act on the load-applying body (22) asymmetrically relative to the axis of the shaft (20).