A
tool holder (1), in particular, of the clamping chuck type, is disclosed, the housing portion (5) of which comprises clamping means (9), provided for fixing a shaft (15) of a rotating tool central to a
rotational axis (7) of the
tool holder (1) and defining a housing opening (13) for said shaft (15). The clamping means (9) can be radially adjusted between a radially-
extended release position for the
insertion or removal of the shaft (15) and a clamping position, in which the clamping means (9) exert a
radial compression seating force on the shaft (15), holding the shaft (15). The clamping means (9) are provided with a clamping surface (17) with a cylindrical contour, which makes a surface contact with the outer circumferential surface (19) of the shaft (15) in the clamping position. The region of the
tool holder (1) forming the clamping surface (17) comprises a spiral groove around the
rotational axis (7), or a number of annular grooves (21) around the
rotational axis (7) at an axial separation from each other, which, viewed in the direction of the rotational axis (7), are connected in one piece between the adjacent turns of the spiral groove or between adjacent annular grooves (21), forming support regions at an axial separation from each other, projecting towards the rotational axis (7), the peak surfaces (27) of which, facing the rotational axis (7), form the cylindrical clamping surface (17).