The invention relates to a tool holder comprising a tool receptacle in the form of a sleeve part, which comprises a tool receptacle opening comprising a mating surface which is concentric with the axis of rotation of the tool holder and on which the shaft of a tool inserted in accordance with the intended purpose thereof into the tool receptacle opening of the sleeve part can be fixed in a press fit, wherein the sleeve part comprises a number of circumferential recesses from the side of the mating surface, wherein the recesses divide the mating surface into several mating surface segments which are comparable to each other and which are substantially inherently rigid in the axial direction, wherein the radial depth of the recesses is selected such that the press fit releases substantially uniformly on all mating surface segments under the influence of heat applied over the outer circumference of the sleeve part.