The invention provides a method of obtaining inorganic sorbents for extraction of lithium from lithium-containing natural and technological brines. The method consists of steps of obtaining six consecutive non-stoichiometric compound, wherein at the final step the sixth non-stoichiometric compound is obtained by converting the fifth non-stoichiometric compound into a hydrogen-form of inorganic ion-exchanger by treating the fifth non-stoichiometric compound with an acid solution. The method improves selectivity and exchangeability of sorbents to lithium based on manganese oxides, as well as chemical stability of the sorbents in cyclic operations.