The present invention relates to a low-vibration tool holder (1) with a tool holder base body (2, 3, 4, 6) and a tensioning arrangement (5) which provides axial tensioning of the tool holder base body (2, 3, 4, 6) and which is simultaneously tensioned in a radially flexible way with respect to the tool holder base body (2, 3, 4, 6). This tool holder (1) is less susceptible to vibration than previously known tool holders, which ensures better true running even during operation and in particular when heat-induced expansion of materials occurs, since the clamping arrangement (5) which is integrated in the tool holder (1) is continuously centered with respect to the tool holder base body (2, 3, 4, 6). Furthermore, such a tool holder (1), in particular within a modular design, can be adapted very flexibly to different types of tools and workpiece machining processes.