Hydrogen/methane mixtures draw attention due to the idea of the injection of hydrogen into natural gas networks and biological production of biohythane by one- and two-step anaerobic fermentation/digestion methods. It is hard to extract hydrogen from dilute mixtures with methane by traditional separation processes, since hydrogen is the minor component with low partial pressure. Metal hydrides selectively absorb hydrogen and offer an opportunity to overcome the limitations of traditional separation methods. Intermetallic alloy of lowered pressure LaNi4.4Fe0.3Al0.3 was made (obtained) to use it in the extraction of hydrogen out of a mixture of gases. Hydrogen absorption properties of alloy were investigated. PCT isotherms between 313K and 353K, porosity, average particle size, specific surface area and permeability of metal hydride bed were measured, X-ray diffraction (XRD) and SEM investigation of bed structure were implemented. Experimental study of processes during the extraction of hydrogen out of binary mixture H2-CH4 (10% vol.-90% vol.) were carried out by means of continuous-flow metal hydride reactor RSP-8, filled with 1 kg of LaNi4.4Fe0.3Al0.3. Recover ratio with the mixture pressure of 1.0 MPa stood at 70%.