A clamping fixture for clamping a component, in particular a workpiece or tool, having a number of clamping jaws, distributed along a periphery, which are connected by appropriate elastic flexural webs to a main body, wherein the clamping jaws are adjustable by an axially movable actuating device in a radial direction from a release position into a holding position, which clamping fixture is characterized in that the flexural webs, in their release position, are inclined in relation to an axially parallel direction radially in a direction of their respective holding positions.