Clamping fixture

A clamping fixture (1, 1′) for clamping a component (14), comprising a number of clamping jaws (4), distributed along a periphery, which are connected by elastic flexural webs (5) to a main body (2), an axially movable actuating device (8, 12) including an actuating element that contacts the clamping jaws and applies a radial clamping force on the clamping jaws on a side opposite a clamping side against which the component is to be clamped in order to adjust a position of the clamping jaws in a substantially radial direction, against the spring force of the flexural webs, from a release position into a holding position, wherein the flexural webs (5), in the release position, are each inclined in relation to an axially parallel direction radially in a direction of the holding position, and an axial contact surface (2′) which is fixed in relation to the main body (2) and against which the component (14), upon being clamped, is adapted to encounter an axial contact pressure force.