A workpiece clamping device having at least one base body. A first clamping body and a second clamping body are movably supported on the at least one base body in a clamping direction. A threaded spindle extends along a spindle longitudinal axis. The spindle longitudinal axis is orientated in clamping direction. It has a first thread section for the first clamping body and a second thread section for the second clamping body. A first coupling body has a first counter thread portion and a second coupling body has a second counter thread portion. In a coupling position the counter thread portions are in engagement with the assigned thread section respectively. In a decoupling position the counter thread portion is disengaged from the assigned thread section. In this decoupling position a movement of the clamping bodies is possible without rotation of the threaded spindle.