Abstract: In order to improve a clamping device, in particular for clamping workpieces on a machine table, comprising a housing securable in position on a support surface of a carrier by means of an anchoring element, a clamping element movable relative to the housing and having a clamping arm projecting from the housing and a clamping spindle rotatably mounted on the housing for moving the clamping element, such that the housing can be secured in place on the support surface in as simple a manner as possible, it is suggested that a fastening element supported on the housing be movable relative to the housing from a first position into a second position for securing the housing in position, that in the first position the housing be detachable from the support surface and that in the second position the fastening element secure the housing in position on the support surface by acting on the anchoring element with a fastening force.