A production method and system is able to produce air-packing device with high efficiency and reliability. The production method is comprised of the steps of: superposing a check valve thermoplastic film on a first air-packing thermoplastic film; bonding the two thermoplastic films for creating a plurality of check valves by heating the thermoplastic films; superposing a second air-packing thermoplastic film on the first air-packing thermoplastic film; and bonding the thermoplastic films by heating the thermoplastic films by a second heater, thereby creating a plurality of air containers each having a check valve. A heat resistant film provided between the thermoplastic films and the heater is moved in a direction opposite to a feeding direction of the thermoplastic films immediately after each bonding step.