The present invention relates to a selective hydrogenation catalyst for an unsaturated compound. The supported catalyst contains at least one Group VIB non-noble metal oxide and at least one Group VIII non-noble metal oxide deposited on a carrier; and the catalyst has an optimized acid distribution on the surface of the catalyst, and more preferably has an optimized Group VIII/VIB metal ratio and a Group VIII non-noble metal density per unit of catalyst surface area. Using the catalyst of the present invention can have the following advantages: the weight increase of light sulphides in an unsaturated compound or a mixture containing unsaturated compounds, the hydrogenation of a polyunsaturated compound, the isomerization of a monounsaturated compound, high operation flexibility and a significant improvement in the effects of a hydrogenation treatment.