A tool holder with fine infeed comprising a base body and a slide displaceably guided therein, the base body being structured for attachment to a member, such as a machine support or a work spindle. The slide is intended to receive a work tool. An infeed-threaded spindle is threadably retained in the slide, the thread play of the infeed-threaded spindle is eliminated by at least one spring. The spindle is mounted by means of three axial and two radial bearing locations relative to the slide and the base body. The outermost bearing location facing away from the spindle threading is constructed as an axial and radial swing or pivot bearing, and the pivot bearing as well as the neighboring bearing location forming an axial bearing are clamped to one another free of play.