A process for removing acid gases from a hydrocarbonaceous fluid stream or an oxygen-comprising fluid stream in which the fluid stream is contacted with an aqueous solution which is essentially free from inorganic basic salts and comprises (i) at least one amine and (ii) at least one metal salt of an aminocarboxylic acid and/or an aminosulfonic acid. Conjoint use of the aminocarboxylic and/or aminosulfonic salt reduces the coabsorption of hydrocarbons or oxygen without significantly impairing the absorption rate at which acid gases are absorbed; without significantly reducing the absorption capacity of the solution for acid gases, and without significantly increasing the energy demand required for regeneration.