within the measurable range of the reformed alzro layer was calculated and the values are shown in table 6 then in the conventional alzro layers of conventional coated tools 1 to 15 the area ratio of the crystal grains having at least one u03c33 coincidence site lattice interface in the crystal grains to the total crystal grains within the measurable range of the conventional alzro layer was calculated by the same method as the coated tools according to the invention and the calculated values are shown in table 7 as shown in tables 6 and 7 in the reformed alzro layers of the coated tools according to the invention the area ratio of the crystal grains having the u03c33 coincidence site lattice interface was 60 or more on the contrary in the conventional alzro layers of the conventional coated tools the area ratio of the crystal grains having the u03c33 coincidence site lattice interface was 40 or less it can be seen from the table that the ratio of the crystal grains having the u03c33 coincidence site lattice interface is very small then the thicknesses of the constituent layers of the hard coating layers of coated tools 1 to 15 according.