A face milling cutting tool comprises a cutter body (1) and cutting bits or tips (8) mounted thereon and is characterized in that each cutting tip: is of flat shape with at least one cutting edge of convexly curved contour and has at one part of its peripheral surface a rake surface; is so tangentially mounted that a front clearance face (16) thereof leaves an axial relief angle relative to the surface of workpiece being machined; and is so mounted that the radial rake angle of the curved cutting edge is of a large negative value. The contour shape of a cutting tip (8) may be substantially triangular, rectangular, parallelogrammatic, circular, elliptical, or any other suitable closed figure, or a combination of any of such contour shapes.