A stamping device includes a base body; an elongated punch having a longitudinal axis; a supporting arrangement for holding the punch in the base body and for guiding the punch for axial displacements between an advanced position and a retracted position; a driving unit releasably held in the base body and including a driving device for axially displacing the punch; a coupling device having a first state in which the coupling device operatively connects the driving device with the punch and a second state in which the driving device is disconnected from the punch; and a receiving arrangement for holding the punch in a desired axial position when the coupling device is in its second state.