The invention relates to a selective hydrogenation catalyst for an unsaturated compound. A supported catalyst contains at least one VIB non-noble metal oxide and at least one VIII non-noble metal oxide deposited on a carrier; and the catalyst has optimized catalyst surface acid distribution, and more preferably has optimized VIII / VIB metal ratio and VIII non-noble metal density of superficial area of per unit catalyst. The catalyst provided by the invention can be used in light sulfide dynamiting of an unsaturated compound or a mixture containing unsaturated compounds, hydrogenation of a polyunsaturated compound and isomerization of an monounsaturated compound, and has high operation flexibility and significantly improved hydrogenation treatment effect.