A tool coupling used for a clamping connection between two coupling parts, in particular between a cutting head and a carrier of a rotary tool, in particular of a drill. The coupling parts comprise clamping sections, which respectively correspond to one another and which can be clamped against each other by turning counter to a predefined direction of rotation about an axis of rotation so that a press fit is produced. In order to produce a high clamping force and at the same time allow for a simple installation via screwing in, each clamping section comprises several successive clamping surfaces which—with respect to a cross section viewed orthogonally to the axial direction—respectively travel along a circular arc, wherein the diameter increases for clamping surfaces succeeding one another in the direction of rotation.