Abstract: Tool holder for a tool for machining workpieces, with a tool holder body, which defines a longitudinal axis, on which a tool mount for securing a tool is formed and on which a tool holder interface for fixating the tool holder to a holder shaft is formed, wherein the tool holder interface comprises: a tool holder plane surface oriented transversely to the longitudinal axis, against which a holder shaft plane surface can abut to establish a defined relative position in longitudinal direction between the tool mount and the holder shaft, a tool holder cone section, which is polygonal in a cross-section and which can engage with a correspondingly polygonal holder shaft cone section to establish a defined relative position in tangential direction between the tool mount and the holder shaft, and a tool holder cylinder section which can act together with a corresponding holder shaft cylinder section.