Abstract: A tool interface (5) that is easy to produce but also precise for coupling a tool head (2) to a tool shank (3) in a centered manner in respect of a shank axis (4), comprises a first interface part (6) that is connected to the tool shank (3) or to the tool head (2), and a second interface part (7) that is connected to the respectively other tool part, namely, to the tool head (2) or to the tool shank (3). The two interface parts (6, 7) have interface surfaces (9, 10) that substantially complement each other and are intended to bear flatly on each other. The interface surface (9) of the first interface part (6) comprises an inner cone surface (21) and an outer cone surface (22), which surrounds the latter on the outside and coaxially.