There is provided a method of producing a foamed molded product, including: plasticizing and melting a resin material containing a thermoplastic resin and a chemical foaming agent in a plasticizing cylinder in which a screw is provided, to provide a molten resin containing the chemical foaming agent; supplying a fluid with a fixed pressure into the plasticizing cylinder to pressurize the molten resin; and performing foam molding of the molten resin. The resin material contains 0.1 to 2% by weight of the chemical foaming agent.