Handpiece (1) for a surgical or dental rotating tool (3) comprises a fixed feed pipe (7) protruding into a longitudinal bore (6) in the tool and sealed against the tool. Torque transmission (8) occurs in the region of a bearing (13) adjacent to an insertion opening (14). An independent claim is also included for a tool for use in the above handpiece. Preferred Features: Torque transmission occurs in the region of the insertion opening, preferably outside the two bearings. The feed pipe ends in an axial region in front of the torque transmission between the two bearings. The torque transmission is formed by a hexagonal recess in the tool holder (2), preferably by the insertion opening and a complementary formed section of the tool shaft.