Abstract: An improved bag-in-box (BIB) composite container wherein the container's inner bag is blow-molded inside the container's outer box. In one embodiment of the present invention, the body portion a heated and softened preform preferably made of polyethylene terephthalate (PET) is placed within a carton through an aperture in the carton's top end panel, followed to injecting expansion means such as a pressurized gas into the preform to expand it into a bag within the outer box. In another particularly preferred embodiment, a parison is extruded into an outer carton through an aperture in the carton's top end panel, followed by injecting expansion means such as a pressurized gas into the parison to expand it into a bag within the outer box. Also disclosed and described are means to enable a consumer to readily grasp the BIB container and to view the product contained therein, as well as apparatus that are useful in making BIB composite containers of the present invention.