Polybranched organic/inorganic hybrid polymer and method for its manufacture. The hybrid polymer has the form of an inorganic core carrying organic branches. The core is first prepared by controlled hydrolysis and condensation of a silane with a structure: X—B—Si(—Y)3 in which X═NR1R2, while R1, R2 are chosen among hydrogen, alkyl and aryl, or R1, R2 are chosen among condensation products, addition products of one or more type of chemical substances such as acids, alcohols, phenols, amines, aldehydes or epoxides. B is a linkage group chosen among alkylene and arylene which may include oxygen, nitrogen, sulphur, phosphorous, silicon and boron. Y is chosen among hydrolyzable residues such as alkoxy, carboxyl, and halogen. The organic branches are developed by substituting N—H hydrogen atoms in the X—B group by reactions that are typical for primary and secondary amines, and/or by adding an acid that causes an addition to the N atoms of the X—B group in the core. Specific uses of the hybrid polymers are also indicated.