A catalyst for purification of CO-containing exhaust gases, includes a metal oxide as a support and a catalytic component A being supported thereon as a catalytic component and including a specific noble metal element; wherein the support includes a titanium-containing oxide as the metal oxide and is a monolithically molded type porous honeycomb support obtained by a process including the steps of extrusion-molding and then calcining materials of the support; and wherein the catalytic component A is distributed with a quantitatively great inclination toward surfaces of the catalyst. A process for purification of exhaust gases to remove CO therefrom, includes the step of bringing the exhaust gases into contact with the catalyst.