TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Composition: Acid groups of polymer are preferably sulfonic groups. Functional group of metal oxide component is a basic group, containing nitrogen, preferably amine, especially APTMOS derivative or e.g. aminophenyl silane derivative. The content of metal oxide is 1-35 wt.%, preferably 6-10 wt.%. Precursor with functional group is a functionalized alkoxysilane (R'O)3SiR'' or (R'O)2, especially APTMOS. Precursor of metal oxide component is a metallic alkoxide ((RO)xM), preferably TEOS. Wt. ratio of metallic alkoxide/functionalized alkoxysilane is at least 70/30, and preferably 80/20 to 95/5. Alternatively, metal oxide component is a particle of metal oxide, especially SiO2, with functional groups, especially formed of APTMOS, disposed at its surface, at wt. ratio of metal oxide particles/functionalized alkoxysilane higher than 60/40, preferably 80/20 to 95/5.Preferred Structure: Spatial relation between the acid group of polymer material and metal oxide component is due to strong interaction, especially ionic interaction of partial charges of acid group and functional group with basic functional group of the component.Preferred Solvent: Material is preferably in form of solution in polar solvent, preferably aprotic solvent such as N-methyl pyrrolidone.Preferred Product: Hybrid material is preferably a membrane, serving as cationic transport in aqueous media, especially a membrane of fuel cell working with methanol at above 100degreesC.    TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Component: Metal oxide component is in form of net system of chains, at least dimeric, and especially polymeric, or the component is formed of metal oxide particles with at least one functional group, preferably basic, on their surface, the particles having diameter below 50 nm, preferably up to 10 nm. Particles of metal oxide are preferably coated with a monomeric layer of molecules disposing functional group preferably of basic character. Metal oxide is oxide of Zr, Ti and preferably Si, especially SiO2.    TECHNOLOGY FOCUS - POLYMERS - Preferred Material: Polymer material with acid groups is preferably organic polymer, especially organic polymer containing no fluorine.Preparation: Polymeric material with acid groups is formed of at least two materials as follows: sulfonated polysulfones and polyaryl-ether ketones, e.g. sulfonated polyether ketones such as s-PEK, s-PEEK, s-PEEKK and s-PEKEKK.Preferred Process: Polymeric material is put in solution in at least one solvent, preferably under inert gas, at temperature 130degreesC, and metal oxide component and/or its precursors are also in solution in at least one solvent, with precursors being conjointly in solution in at least one solvent. Suspension of metal oxide component and/or solution of precursors of this component are added to the solution of polymeric material, and the mixture is homogenized. Fixation and/or formation are conducted according to sol-gel reaction mode, preferably in presence of water and acid catalyst, especially hydrochloric acid. The process preferably uses precursor of metal oxide component with basic group, preferably amine group, interacting with acid group of polymeric material. The process permits transfer of inorganic component aqueous solution to polymer solution in organic solvent. Interaction and/or formation of metal oxide component is followed by extraction of solvent. The membrane is formed by casting of mixture onto support.