A method for producing a hollow molded article comprising: an injection molding process of injection molding a preform in an injection molding mold; and a blow molding process of blow molding the preform in a blow molding mold to obtain a hollow molded article, wherein the injection molding process includes an injection cooling process of allowing the preform be brought into contact with an injection molding mold to solidify a surface layer of the preform; and further includes a preform conveyance process of releasing the preform from the injection molding mold and conveying the preform to a blow molding mold with the preform being in a state in which the surface layer of the preform is softened by receiving heat from an inner layer of the preform; the blow molding process allows a tip of a stretching rod cooled to a temperature ranging from 50°C to 90°C to be brought into contact with a bottom of the preform conveyed to the blow molding mold in a state where the temperature of the surface layer of the preform is raised and softened by receiving heat from the inner layer of the preform in the preform conveying process, in a softened state obtained in the injection molding process and to press down the bottom of the preform while the bottom is cooled, characterized in that the method uses an injection stretch blow molding machine which comprises - an injection molding section in which the injection molding mold that combines an upper mold, a lower mold, and a lip mold is arranged and configured to injection mold the preform; and - a blow molding section in which the blow molding mold that combines a blow mold and the lip mold is arranged to include the stretching rod configured to stretch the preform which has been injection molded by the injection molding section configured to blow mold the hollow molded article, - an ejection section configured to eject the hollow molded article molded in the blow molding section from the lip mold and discharging it outside the machine, wherein the injection molding section, the blow molding section and the ejection section are arranged on a rotary plate. an injection molding process of injection molding a preform in an injection molding mold; and a blow molding process of blow molding the preform in a blow molding mold to obtain a hollow molded article, wherein the injection molding process includes an injection cooling process of allowing the preform be brought into contact with an injection molding mold to solidify a surface layer of the preform; and further includes a preform conveyance process of releasing the preform from the injection molding mold and conveying the preform to a blow molding mold with the preform being in a state in which the surface layer of the preform is softened by receiving heat from an inner layer of the preform; the blow molding process allows a tip of a stretching rod cooled to a temperature ranging from 50°C to 90°C to be brought into contact with a bottom of the preform conveyed to the blow molding mold in a state where the temperature of the surface layer of the preform is raised and softened by receiving heat from the inner layer of the preform in the preform conveying process, in a softened state obtained in the injection molding process and to press down the bottom of the preform while the bottom is cooled, the method uses an injection stretch blow molding machine which comprises - an injection molding section in which the injection molding mold that combines an upper mold, a lower mold, and a lip mold is arranged and configured to injection mold the preform; and - a blow molding section in which the blow molding mold that combines a blow mold and the lip mold is arranged to include the stretching rod configured to stretch the preform which has been injection molded by the injection molding section configured to blow mold the hollow molded article, - an ejection section configured to eject the hollow molded article molded in the blow molding section from the lip mold and discharging it outside the machine, - an injection molding section in which the injection molding mold that combines an upper mold, a lower mold, and a lip mold is arranged and configured to injection mold the preform; and - a blow molding section in which the blow molding mold that combines a blow mold and the lip mold is arranged to include the stretching rod configured to stretch the preform which has been injection molded by the injection molding section configured to blow mold the hollow molded article, - an ejection section configured to eject the hollow molded article molded in the blow molding section from the lip mold and discharging it outside the machine, wherein the injection molding section, the blow molding section and the ejection section are arranged on a rotary plate.