The results of a study on the hydrogenation of a mixture of anthracene and phenanthrene in the presence of nanocatalysts (Fe3O4 and beta-FeOOH) and catalytic additives (microspheres obtained from the ash of coals from the Republic of Kazakhstan and nickel and cobalt additives supported on the microspheres) are presented. The efficiency of a wet mixing method for the preparation of nickel and cobalt oxide catalytic additives on the microspheres in the process of the hydrogenation of a mixture of anthracene and phenanthrene was shown. The hydrogenation process of a mixture of polyaromatic hydrocarbons was represented as a combination of hydrogenation and destruction reactions. The individual chemical composition of the hydrogenation products of a mixture of anthracene and phenanthrene was investigated. The activity and selectivity of the catalysts and catalytic additives in the hydrogenation process of a mixture of polyaromatic hydrocarbons were established.