FIELD : medicine. SUBSTANCE : invention relates to medicine, namely to pulmonology, and can be used in the treatment of asthma. This method comprises administering to a patient with asthma a dose of 30爉g of benralizumab or its antigen-binding fragment once every four weeks for twelve weeks, and then once every eight weeks. EFFECT : use of the invention allows to reduce the annual frequency of asthma attacks with good tolerance and safety of treatment. 9 cl, 4 tbl, 8 dwg, 4 ex