The invention relates to medical technology, to non-medicinal means for improving physical health and enhancing physical capabilities by means of a breathing system, and specifically relates to devices which are intended for inhaling hypoxic/hypercapnic mixtures having various compositions, and which have an adjustable resistance to inhalation/exhalation. According to a first variant, a breathing exerciser contains a first chamber, which is connected to means for connecting the exerciser to a user's respiratory tract; a second chamber, communicating with the first chamber; a third chamber, communicating with the second chamber; means for adjusting the composition of a breathing mixture; and means for adjusting the resistance to inhalation/exhalation, installed in a channel through which the first chamber and the second chamber communicate. The second chamber communicates with the atmosphere; the third chamber is elastic; means for regulating the composition of a breathing mixture are in the form of adjustable throttling devices installed in the channels through which the second chamber communicates with the third chamber and with the atmosphere; the means for adjusting the resistance to inhalation/exhalation are capable of separately and independently adjusting resistance to inhalation and resistance to exhalation. A second variant is characterized in that a first chamber communicates with a second chamber by means of two parallel channels, in that means for adjusting the resistance to inhalation/exhalation are installed in the parallel channels, and in that a breathing mixture is capable of passing through said channels in mutually opposite directions.