The invention relates to novel organic/inorganic hybrid membranes which have the following composition: a polymer acid containing --SO.sub.3H, --PO.sub.3H.sub.2, --COOH or B(OH).sub.2 groups, a polymeric ease (optional), which contains primary, secondary or tertiary amino groups, pyridine groups, imidazole, benzimidazole, triazole, benzotriazole, pyrazole or benzopyrazole groups, either in the side chain or in the main chain; an additional polymeric base (optional) containing the aforementioned basic groups; an element or metal oxide or hydroxide, which has been obtained by hydrolysis and/or sol-gel reaction of an elementalorganic and/or metalorganic compound during the membrane forming process and/or by a re-treatment of the membrane in aqueous acidic, alkaline or neutral electrolytes. The invention also relates to methods for producing said membranes and to various uses for membranes of this type.