The rekindled interest in the cerium oxide catalyst for pollution control applications, as well as the catalytic activity of the mixed oxides based on cerium is subject of this research work. Compositions of different sizes, shapes and surface types and their influence on the catalytic activity of the particles mentioned. Interpreted the catalytic behavior both cerium oxide and mixed oxides of cerium, the factors affecting the oxygen storage capacity, the chemistry that takes place on the surfaces of catalysts and mechanisms of catalytic reactions. Particular emphasis is given to mixed oxides of cerium-zirconium. The action of the supports in the mixed cerium - zirconium oxide examined quite extensively. Finally, reference is made to action of mixed oxides based on cerium as metallic catalyst supports.