life of a cutting tool can become longer further in reference example 7 the oxidation starting temperature becomes higher that is 1 340 deg c thus oxidation can hardly occur even though the cutting temperature increases and accordingly the service life of the cutting tool becomes longer further the friction coefficient is extremely low in comparison with 0 3 in the comparison example 1 that is it is 0 164 which is lower than 0 2 in reference example 1 in other words the friction coefficient in reference example 7 is not greater than u2154 of the friction coefficient 0 3 in comparison example 1 that is about u00bd thus in view of such a low frictional coefficient which is comparable with that of boric oxide there can be provided a long service life tool coating thus with the formation of the oxidation resistance coating layer composed of the complex oxide formed by containing an oxide of li and other metal the oxidation starting temperature can be increased so that oxidation can hardly occur even at a high temperature and the friction coefficient is low thus it has been found that the oxidation resistance coating layer can hardly peel off it is noted that the same result can be obtained even though cr ti hf pd ir and rare earth elements are used instead of zr in the alzrsin group compound which were used a typical example of the nitride layer since the lattice constant is not changed appreciably according to the present invention there can be provided a surface coating layer having a high.