The present invention provide for a cutting tool member that has been coated with a hard coating. The hard coating has multiple layers including: a) a layer made of a titanium compound that has a cubic lattice structure, b) an Al2O3 layer, and c) an intervening layer that includes a Ti2O3 compound with a corundum-type lattice structure. The hard coating layer provides the cutting tool member with good strength and increases its operational lifetime.