Abstract: A profiled clamping jaw for a clamping device has a base body (12) and a clamping surface (14) arranged on the base body and adaptable to the surface profile of a workpiece (54). To make it possible to adapt by simple means the clamping surface (14) of the profiled clamping jaw (10) to the surface profile of the workpiece, the claiming surface (14) is composed of a plurality of pressure pieces (16) movable with respect to the base body (12) and capable of being locked thereon in a determined clamping position.