A tool holder has a holder (1) on the side of the machine and a holder (2) on the side of the tool. Both holders are coupled with each other with radial clearance so as to turn together by a coupling arrangement (3). The coupling arrangement has a radially movable coupling disk (4) provided with two pairs of mutually perpendicular radial slots. Axial driving tenons (7) of the holder (1) arranged on the side of the machine engage one pair of slots and axial driving tenons (8) of the holder arranged on the side of the tool engage the other pair of slots. The coupling disk (4) is supported on both sides by rollers arranged in roller cages (9) and oriented in the corresponding displacement direction.
