A process for producing a cylindrical container (20, 40), which includes a cylindrical trunk portion (21, 41) and a lower molded portion (23, 43) molded integrally with an end of the trunk portion (21,41), using a molding tool formed of a stationary mold and a mold core (3, 30) movable forward and backward with respect to the stationary mold, the process comprising: an attaching step of attaching a thin cylindrical element and a circular film to the mold core (3, 30), the thin cylindrical element being formed in a cylindrical shape having a constant cross-sectional shape, being formed of a plastic laminate film, and being made into the trunk portion (21, 41), the circular film forming a part of the lower molded portion (23, 43), a molding step of, after the attaching step, molding the lower molded portion (23, 43) by mounting the mold core (3, 30) on the stationary mold, and injecting a synthetic resin material into between the mold core (3, 30) and the stationary mold to integrate the thin cylindrical element, the circular film, and the synthetic resin material so as to obtain the cylindrical container (20, 40); and a removal step of, after the molding step, removing the cylindrical container (20, 40) from the mold core (3, 30), wherein in the attaching step: the circular film is fitted into an inside of the thin cylindrical element; the thin cylindrical element is pressed onto a tip portion (3A, 32) of the mold core (3,30); the thin cylindrical element is guided and moved to a base end side of the mold core (3, 30) while ejecting gas into between the mold core (3, 30) and the thin cylindrical element; the circular film relatively slides with respect to the thin cylindrical element as the thin cylindrical element moves; and the thin cylindrical element is attached to an outer surface of the mold core (3, 30) in a manner so as to cover the mold core (3, 30), and in the removal step, the cylindrical container (20, 40) is removed from the mold core (3, 30) while ejecting gas into between the mold core (3, 30) and the cylindrical container (20, 40). an attaching step of attaching a thin cylindrical element and a circular film to the mold core (3, 30), the thin cylindrical element being formed in a cylindrical shape having a constant cross-sectional shape, being formed of a plastic laminate film, and being made into the trunk portion (21, 41), the circular film forming a part of the lower molded portion (23, 43), a molding step of, after the attaching step, molding the lower molded portion (23, 43) by mounting the mold core (3, 30) on the stationary mold, and injecting a synthetic resin material into between the mold core (3, 30) and the stationary mold to integrate the thin cylindrical element, the circular film, and the synthetic resin material so as to obtain the cylindrical container (20, 40); and a removal step of, after the molding step, removing the cylindrical container (20, 40) from the mold core (3, 30), wherein in the attaching step: the circular film is fitted into an inside of the thin cylindrical element; the thin cylindrical element is pressed onto a tip portion (3A, 32) of the mold core (3,30); the thin cylindrical element is guided and moved to a base end side of the mold core (3, 30) while ejecting gas into between the mold core (3, 30) and the thin cylindrical element; the circular film relatively slides with respect to the thin cylindrical element as the thin cylindrical element moves; and the thin cylindrical element is attached to an outer surface of the mold core (3, 30) in a manner so as to cover the mold core (3, 30), and in the removal step, the cylindrical container (20, 40) is removed from the mold core (3, 30) while ejecting gas into between the mold core (3, 30) and the cylindrical container (20, 40). the circular film is fitted into an inside of the thin cylindrical element; the thin cylindrical element is pressed onto a tip portion (3A, 32) of the mold core (3,30); the thin cylindrical element is guided and moved to a base end side of the mold core (3, 30) while ejecting gas into between the mold core (3, 30) and the thin cylindrical element; the circular film relatively slides with respect to the thin cylindrical element as the thin cylindrical element moves; and the thin cylindrical element is attached to an outer surface of the mold core (3, 30) in a manner so as to cover the mold core (3, 30), and in the removal step, the cylindrical container (20, 40) is removed from the mold core (3, 30) while ejecting gas into between the mold core (3, 30) and the cylindrical container (20, 40).