<p>The author's works on the investigation of the gas permeability of hollow glass microspheres and a composite sorbent based on them by the membrane-sorption method for the separation of helium from a gas mixture are reviewed. The experimentally determined permeability coefficients of these microspheres and of the composite sorbent based on them as well as different factors influencing the indicated coefficients are presented. Mathematical models defining the absorption of gases by hollow gas microspheres are considered and a model of an experimental-industrial setup realizing the membrane-sorption method for the separation of helium from the natural gas, using the selective permeability of the microspheres as the base, is substantiated.</p>