A method for removing acid gases from a fluid stream comprises a) treating the fluid stream in an absorption zone with an absorption medium which comprises an aqueous solution of at least one amine, conducting the treated fluid stream through at least two scrubbing zones and treating it with a non-acidic aqueous phase in order to transfer entrained amine and/or entrained amine decomposition products at least in part to the aqueous phase, wherein aqueous phase is recycled via at least one scrubbing zone and aqueous phase is conducted through at least one scrubbing zone without recycling. The method permits efficient retention of amines from the treated fluid streams.