The burnishing drill includes a cylindrical drill body connected at forward integrally with a shank.The forward end of the drill body includes the first pair of cutting edges inclined radial and at rear from the forward most central end of the drill body toward the shank at a first cutting angle.The second pair of cutting edges, which is formed of diamond chips, is disposed in a plane intersecting where the first pair of cutting edges is located, for maximum external margins of the first pair of cutting edges toward the shank at a second cutting angle.