This invention provides a new catalyst for purification of diesel engine exhaust gas comprising a carrier of at least one sulfur-resistant refractory oxide and at least one catalytic metal, wherein at least one solid acid and/or sulfuric acid is carried on the carrier by adding at least one precursor of said solid acid and/or sulfuric acid during the preparation of the carrier, and preparation thereof. The catalyst of this invention is thermally and chemically durable and can effectively remove particulate matters, hydrocarbons and nitrogen oxides contained in the diesel engine exhaust gas at low temperatures.