The invention discloses an ozone catalytic oxidation catalyst. The catalyst comprises a carrier and active components and auxiliaries which are loaded on the carrier. The carrier contains gamma-alumina. The active components comprise Fe, Mn, Cu and Co. The auxiliaries contain Ce and Mg. The invention also provides an application of the catalyst in treating high-acid heavy crude oil processing wastewater. The ozone catalytic oxidation catalyst provided by the invention is low-priced, is green and environmentally friendly, and has advantages of simple process, long service life, high catalytic activity and stable catalytic performance.