Natural gas can exist not only in gaseous, but also in liquefied and solid aggregate states. Natural gas in a solid state - gas hydrates of natural gas. It is in the solid state - in the form of gas hydrates - that natural gas can be stored in improved casing gas-resistant structures. In order to improve the pneumatic structures and the method of operation of these structures, the features of such storage are substantiated. The design and operation technology of the ground storage facility for the accumulation and storage of natural gas as part of the gas hydrate includes the main and some auxiliary elements. Compulsory components of a pneumatic structure include a fence, pumping equipment and a foundation. However, the main element of the ground pneumatic structure is a frameless gas-resistant shelter in the form of at least two dome-shaped gas-tight soft shells on a thermally insulated base. A necessary condition for the storage of gas hydrates of natural gas is the creation of thermobaric conditions higher than the dissociation parameters of gas hydrates of this composition. For increase the thermal resistance of the pneumatic coating, it is suggested to fill the space between the shells with a porous substance with low thermal conductivity. Liquid compression foam is offered as a thermal insulation material. The use of liquid foams will increase the thermal resistance of soft shells and reduce the heat exchange between gas hydrates and the air outside. The use of these hydrate storages will significantly increase the efficiency and competitiveness of natural gas storage technology in the form of gas hydrates.