Abstract: A clamping system for holding a work piece while it is being worked on by a machine tool is disclosed. In one embodiment there is a base plate having an upper surface that has a locator position in a central region of the surface. A connector is provided that acts between an internal cavity of the work piece and the locator position to limit movement of the work piece along the base plate. Three series of aligned holes in the upper surface of the base plate are provided, each of which extends radially outward from the locator position in a different direction from the other. Three adjustably positionable peripheral clamps are also provided. For each of the clamps, a screw can removably position the clamps at various positions along the series of holes. The clamps can therefore be readily positioned at different radial positions relative to the locator, and can accommodate various sizes of work pieces at a single work station.