Abstract: A workpiece clamping device for the fast, central clamping of workpieces provided with holes of various number and pitch diameter and/or with a central hole, such device being adapted for the balancing of vehicle wheels. The device consists of a fixing mechanism, releasing mechanism and a clamping unit attachable to them with the workpiece. The clamping unit contains a central mandrel with a threaded end, a pressure element movable on the mandrel in an axial direction and secured against turning with respect thereto, and one or more locating elements connected to the pressure element and fitting into the hole or holes of the workpiece as well as a threaded clamping element supported by the pressure element. The fixing mechanism contains a sleeve receiving the mandrel of the clamping unit; the fixing device is provided with a selectively operated releasing mechanism. Operation of the releasing mechanism automatically disables the motor which drives the balancing mechanism.