The invention discloses application of a solid super acid (SO4<2>/Fe2O3/ZrO2) to catalyzing of hydrogen peroxide/ozone in the treatment of acid wastewater and a method for catalyzing the hydrogen peroxide/ozone. In the technique, the SO4<2>/Fe2O3/ZrO2 and H2O2 have a synergistic effect of catalyzing the oxidation of ozone and removing organic matters in water. The technique has an efficient removal rate of an acetic acid under the strong acidic condition (pH is less than 2.0), the defect that the oxidation efficiency of an H2O2/O3 system is obviously reduced when the pH is less than 5.0 is overcome, the application has the advantages of simple operation and low cost, the organic matters like the acetic acid in an acid solution are effectively removed, and the application prospect is quite excellent.