Abstract: The present invention provides a catalytic gasoline desulfurization method having also an olefin selective removal function, which comprises: when a catalytic gasoline is pre-hydrotreated, cutting into a light fraction, a middle fraction and a heavy fraction; performing liquid-liquid extraction desulfurization treatment on the middle fraction to produce a sulfur-poor oil and a rich solvent containing sulfur-rich oil; the light fraction back-extracting the rich solvent, using C5 olefin therein to replace a macromolecular acyclic olefin in the sulfur-rich oil, so as to gather together C5 iso-olefins, cycloolefins, aromatic hydrocarbons and sulfides in the sulfur-rich oil; performing hydrogenation, olefin-reduction and desulfurization treatment on the heavy fraction together with the sulfur-rich oil removed from the back-extracted rich solvent to saturate the olefin therein; and finally, preparing together with the sulfur-poor oil to produce a full range gasoline.