The invention discloses a gasoline selective hydrogenation catalyst, a preparation method thereof and application thereof in gasoline two-stage selective hydrogenation-desulfurization. In the catalyst, titanium oxide and/or zirconium oxide-modified alumina is adopted as a carrier, wherein a proper amount of titanium oxide and/or zirconium oxide is introduced in the pulping process after alumina is gelatinized; the total acid amount of the carrier is improved, and the L acid amount is greatly improved particularly; the selective hydrogenation-desulfurization capacity of the catalyst is improved, and the effect of the carrier on a potassium aid is enhanced; and under the coordination of a phosphorus aid, the potassium is prevented from being lost and the stability of the catalyst is improved. Two catalysts with high selectivity and stability and different activities are combined, so that the hydrogenation-desulfurization activity and selectivity are high, and stable operation time is long in a gasoline two-stage selective hydrogenation-desulfurization process, and the economic efficiency of a device is improved.