A hand-held milling machine (1) has a cutting tool (9, 10) which protrudes from a machine support (3) on the side facing the workpiece. A screw-type clamping mechanism allows the cutting tool (9, 10) and the machine support (3) to be positionally adjusted relative to each other by the relative rotational movement of clamping sections (6, 18) on both sides around a drive axis (13) in the direction of the projection of the cutting tool (9, 10) relative to the machine support (3). The clamping sections (6, 18) are positioned opposite each other in the radial direction of the drive axis (13). A tensioning device (35) allows the two clamping sections (6, 18) on both sides to be secured against relative rotational movement around the drive axis (13). The tensioning device (35) includes an annular tensioning element which is at least in part positioned radially outside the outer clamping section (18) and which, by means of an actuating element, can be tensioned and released in the circumferential direction, so that, when the tensioning element is tightened into the clamping position, the outer clamping section (18) can be brought into contact with the inner clamping section (6).