The invention discloses a method for synthesizing chiral five-membered carbocyclic purine nucleoside by asymmetric allylamination reaction, belonging to the field of asymmetric synthesis in organic chemistry. Using purine 1 and alicyclic MBH carbonate 2 as raw materials, under the presence of palladium catalyst and chiral ferrocene derived phosphine nitrogen ligand, potassium carbonate and 1-naphthol are added for reaction, so as to obtain five-membered carbocyclic purine nucleoside 3 with chiral center. A series of chiral purine nucleoside compounds with five-membered carbocyclic part containing C=C double bond are obtained by that method of the invention, the reaction yield is good, the diastereoselectivity reaches 95/5, and the enantioselectivity can reach 99.6% at the highest.