A catalyst for purifying an exhaust gas includes a support and a noble metal loaded on the support. The support includes a mixture containing a porous oxide and a composite oxide. The composite oxide is expressed by the following formula:
in which the values “a” and “b” are molar ratios and the value “a” falls in a range of from 0.4 to 2.5 and the value “b” falls in a range of from 0.2 to 0.7. The support includes a particle having a particle diameter of 5 &mgr;m or more in an amount of 30% by volume or more. With the thus arranged support, even when the catalyst is subjected to such a severe durability test that it is heated at 1,000° C. for 10 to 20 hours, it exhibits a high purifying activity, and its coating layer is inhibited from cracking or coming off.