The invention relates to a
tool holder for the, in particular force-fit, mounting of a tool, in particular a rotary tool, and to a kit, in particular for such a
tool holder. The
tool holder comprises a receiving body which has a rotary axis, a rear interface for receiving the tool holder in a work spindle of a
machine tool, a front receiving section for the force-fit retention of the tool, in particular the rotary tool, a
coolant bore arranged along the rotary axis between the interface and the receiving section, by means of which
coolant can be guided along the rotary axis from the interface to the receiving section and which has a first area with a second area adjoining it in the direction of the rotary axis towards the receiving section, wherein a
diameter of the first area is larger than a
diameter of the second area, and a
coolant pipe arranged in the first area of the coolant bore which has a
diameter larger. Towards the receiving section, a cavity is formed in the receiving body or in the first area with the
increased diameter between the coolant
pipe and the smaller diameter second area of the coolant bore. To improve the
coolant flow and thus the cooling of a tool, the tool holder is designed with a bridging element in the cavity between the coolant
pipe and an interface-side end of the smaller diameter, second area. This bridging element is designed to allow
coolant flow and seal the
coolant flow against the cavity.