A GAS SEPARATION COMPOSITE MEMBRANE, CONTAINING A GAS-PERMEABLE SUPPORTING LAYER AND A GAS SEPARATING LAYER CONTAINING A CROSSLINKED POLYIMIDE RESIN OVER THE GAS- PERMEABLE SUPPORTING LAYER, IN WHICH THE CROSSLINKED POLYISMIDE RESIN HAS STRUCTURE IN WHICH A POLYIMIDE COMPOUND IS CROSSLINKED THROUGH A SPECIFIC CROSSLINKING CHAIN, THE SPECIFIC CROSSLINKING CHAIN HAS AT LEAST ONE KIND OF LINKING GROUP SELECTED FROM THE GROUP CONSISTING OF NRaC(=O)-, -NRbC(=O)O-, -CH2OCH2-, CH2SCH2-, OC(=O)O- ,-C(=O)O-N+(Rd)3-, -SO3-N+(Rd)3- AND –PO3-N+(R°)3-, AND Ra, Rb, Rc, Rd AND Re EACH INDEPENDENTLY REPRESENT A HYDROGEN ATOM OR A SUBSTITUENT. (FIG. 1)