The invention relates to a supported catalyst for removing ozone and a preparation method thereof, and belongs to the field of catalysis and environmental protection. The supported catalyst is characterized in that a honeycomb ceramic carrier or a porous foam metal carrier or an active carbon fiber cloth carrier is adopted, a manganese-iron composite oxide is adopted as a main active component, and silver is adopted as an auxiliary component. The preparation method comprises the following main steps: adopting an oxidation reduction-reflux method to prepare MnO2-Fe2O3 composite oxide powder, adding a certain percentage of deionized water and silica gel, beating to obtain a slurry, placing the catalyst carrier into the slurry to immerse, taking the carrier, drying, baking, placing the catalyst carrier in a soluble silver solution to immerse, taking the carrier, drying, baking, placing the catalyst carrier in hydrogen to heat, and cooling to a room temperature. The catalysts prepared by the method provides high catalysis activity and stability for decomposition of ozone in indoor air, wherein addition inputs of light, electricity, heat and other energy sources are not required, and the ozone can be stably decomposed into oxygen under conditions of a room temperature, normal humidity and large air flow.