A clamping chuck (1) for radially clamping workpieces with a cylindrical outer clamping surface includes an annular base member (2) which has a hole (5), a shoulder (11), which projects inwards radially and forms a contact surface for the workpiece, an axially-extending hole face (10) and tabs (12) which project inwards radially. Arranged on the base member (2) is a clamping member which is divided into a plurality of substantially L-shaped clamping elements (21), which each include a clamping head (24) arranged in the hole and an actuating lever (27) which extends outwards radially from the clamping head (24). Each clamping head (24) includes, on the outer side thereof, at least one cam (25), which projects outwards radially, engages in a gap between the shoulder (11) and the tabs (12) and is supported radially by the hole face (10) and axially by at least one tab (12). On their inner side, each clamping head has a clamping edge (26) which is arranged in such a way that, upon rotation of the clamping elements (21), during which the actuating levers (27) move away from the base member (2), the edge moves inwards in a radial direction and towards the shoulder (11) in an axial direction.