The invention relates to a method for FCC (fluid catalytic cracking) gasoline sweetening. The method adopts a fixed bed reactor, a used catalyst comprises, in weight percentage, 66-91wt% of alumina support with a macro-porous structure, 5-19wt% of metal active component nickel oxide and 2-15wt% of metal active component molybdenum oxide, the metal active component nickel and the metal active component molybdenum are loaded on the support, the alumina support takes chitosan as a pore-expanding agent, the support comprises additive component phosphorus and additive component molybdenum, and the reaction process conditions include that reaction temperature ranges from 110 DEG C to 220 DEG C, reaction pressure ranges from 1.1MPa to 3.5MPa, volume space velocity ranges from 1.2h<-1> to 4.0h<-1>, and hydrogen oil volume ratio is (7-25):1. The sweetening method has strong adaptability to oil products with different sulfur contents, mercaptan sulfur contents and olefin contents.