The present invention relates to a catalyst for purifying exhaust gases emitted from the internal combustion engines.The exhaust-gas-purifying catalyst in this invention, comprising: a catalyst support substrate and a plurality of catalyst layers formed on a surface of the catalyst support substrate and having an exterior-surface layer for forming a surface of the plural catalyst layers, and the exterior-surface layer including a loading layer formed by fireproof inorganic oxide; at least one catalytic metal selected from the group consisting of platinum, palladium and rhodium, and supported on the loading layer; stabilized zirconia loaded on the loading layer; and cerium-zirconium composite oxide loaded on the loading layer, and the stabilized zirconia including zirconia and oxide formed by at least one additive member selected from the group consisting of yttrium, neodymium, praseodymium and lanthanum. The durability of the exhaust-gas-purifying catalyst was improved by having the stabilized zirconia and cerium-zirconium composite oxide in the exterior-surface layer.