The invention provides an energy-saving gas stove device adopting air storage and heating and belongs to the technical field of gas stove appliances. The energy-saving gas stove device comprises an inner stove body, a gas feed pipe, an air feed nozzle, an annular box, a stove ring, a choke sleeve, a choke, a ventilation pipe, an L-shaped ring, a stove bottom plate, a flue gas exhaust pipe, an outer stove body and a fire split disc; when a wok is placed at the upper opening of the stove ring of the gas stove device and blocks a flame and flue gas exhaust at the upper opening of the stove ring, flue gas and part of the flame can only be exhausted to flue gas storage space from the choke opening in the inner stove body, the annular box is arranged in the annular flue gas storage space and absorbs heat of the flue gas (carbon dioxide), blowing-in air is stored and circulated in the space in the annular box, so that the air is stored and heated, the stored and heated air enters the inner stove body from the ventilation pipe and a cavity of the L-shaped ring, the heated air and gas are mixed and combusted, the thermal efficiency is improved, and the gas stove device can save 35%-60% of energy than other stoves.