This review considers possible reasons for the decrease in the effectiveness of antihypertensive treatment in primary open-angle glaucoma (POAG) patients with a family history of the disease, presents clinical practice examples of the effectiveness and duration of antiglaucoma topical therapy and the mechanisms and manifestations of tachyphylaxis and tolerance disorders in such patients. Clinical features and the nature of POAG progression in patients with a hereditary predisposition may be reflected in the early decrease in the effectiveness of antihypertensive treatment. In some recent publications the authors proved a more aggressive course of POAG in patients with a family history of the disease, but despite that, such works at the moment are very limited in number and unsystematized. This, in turn, prevents drawing unambiguous conclusions regarding the features of the prescribed antihypertensive therapy. The article also discusses modern aspects of pharmacogenetics in patients with POAG, its further development will help minimize unwanted side effects as well as increase the effectiveness of antihypertensive drug treatment. The results of the work presented in this review allow systematization of the available data on impaired tolerance to antihypertensive therapy and maintain the need of further clinical research in this area.