The present invention relates to a method for obtaining a high yield of sugar alcohols containing five to six carbon atoms from cellulose-containing materials. In a first step the starting materials (for example microcrystalline cellulose, alpha-cellulose, wood and cellulose-containing residues, such as sugar cane bagasse or wood shavings) and an acid are brought into close contact with the substrates by a impregnation carried out in the liquid or gaseous phase. In addition, in a second step the starting materials impregnated with acid and preferably dried are brought into contact by the action of mechanical energy, such that the cellulose-containing materials are degraded into water-soluble products. Subsequently, in a third step, sugar alcohols having five to six carbon atoms are obtained in a high yield and in high selectivity from the water-soluble products in aqueous solution by hydrolytic hydrogenation by means of a metal-containing catalyst under hydrogen pressure.