The invention relates to a clamping device for clamping workpiece, which comprises a base in which a center holding fixture for the shank of a tool to be clamped and an annular damping cavity surrounding the fixture or a plurality of damping cavities arranged around the fixture and set off from each other are configured. Every damping cavity is open towards the front face of the chuck base facing the workpiece. The clamping device is characterized in that the open end of every damping cavity is at least partially closed by respective covers which are inserted into the respective damping cavity from the open front face and are fixed inside the damping cavity.