FIELD : technological processes.SUBSTANCE : invention relates to the production of nanoscale materials suitable for the sorption of biological media and biomolecules and can be used in medicine and pharmacology. To produce micro-mesoporous nanomaterial based on aluminum oxyhydroxide, hydrothermal oxidation of nano-sized particles of aluminum-based material is carried out at a temperature of 190 to 210?°C for 4–6 hours. Process is carried out in the presence of glass fibers with a nominal diameter of not more than 0.65 mcm. Micro-mesoporous nanomaterial based on aluminum oxyhydroxide is a hollow nanofibres with a shell of a continuous layer of folded aluminum oxyhydroxide aluminum (boehmite) with a size of 50 to 200 nm and a thickness of 2 to 5 nm and x-ray amorphous inclusions of silicon oxide.EFFECT : invention allows to obtain micro-mesoporous nanomaterial (MPN) on the basis of aluminum oxyhydroxides, allowing to increase the efficiency of preferential adsorption of cations, cationic molecules and positively charged particles due to the hollow tubular structure.6 cl, 4 dwg, 3 ex