The invention relates to a method of removing mercaptan of catalytically cracked gasoline. According to the method, a fixed bed reactor is adopted; a catalyst comprises a silicon oxide-aluminum oxidecarrier, metal active components (nickel, molybdenum, and iron) loaded on the carrier, and an auxiliary agent (phosphorus); nickel oxide accounts for 2 to 15 wt% of the catalyst, molybdenum oxide accounts for 2 to 18 wt% of the catalyst, iron oxide accounts for 0.1 to 5.5 wt% of the catalyst, the auxiliary agent (phosphorus oxide) accounts for 0.01 to 2.2 wt% of the catalyst, the silicon oxide-aluminum oxide carrier accounts for 65 to 85 wt% of the catalyst, the micro pores, mesopores, macro pores are unevenly distributed in the carrier; the reaction temperature is 110 to 220 DEG C, the reaction pressure is 1.1 to 4.5 MPa, the volume air speed is 1.2 to 5.0 h<-1>, and the volume ratio of hydrogen to oil is 7-25:1. The catalyst has the characteristics of high mercaptan removing activity, high selectivity of diolefin hydrogenation, few side reactions, and low octane value loss.