A neck crystallization system comprising: a rectangular stage that has long sides (20A, 20B) and short sides (20C, 20D) in a plan view, a plurality of sprockets (30 to 34) that are disposed on the stage, an endless member that is horizontally fitted around the plurality of sprockets (30 to 34), a transfer path that is formed in an area in which the endless member is disposed, a plurality of transfer members that are mounted on the endless member, and respectively support and transfer a molded article having a neck along the transfer path, at least one heating section to heat the neck of the molded article, a cooling section that, cools the neck of the molded article, a molded article supply section that supplies at least one molded article to at least one transfer member and a molded article removal section that removes at least one molded article from at least one transfer member that is situated in the transfer path at a position between the cooling section and the molded article supply section characterized in that, the transfer path includes first to fourth linear transfer paths (41 to 44), the first to fourth linear transfer paths (41 to 44) being parallel to each other, and extending in a direction along the long sides (20A, 20 B), transfer directions of two transfer paths among the first to fourth linear transfer paths (41 to 44) that are adjacent to each other in a direction along the short sides (20C, 20D) being opposite to each other, a plurality of heating sections that are provided along at least the first to third linear transfer paths (41 to 43) among the first to fourth linear transfer paths (41 to 44) that are positioned on an upstream side, and heat the neck of the molded article, and the cooling section is disposed along at least the fourth linear transfer path, that is positioned on a downstream side of the plurality of heating sections, and the at least one transfer member is situated in the transfer path at a position on an upstream side of the plurality of heating sections. a rectangular stage that has long sides (20A, 20B) and short sides (20C, 20D) in a plan view, a plurality of sprockets (30 to 34) that are disposed on the stage, an endless member that is horizontally fitted around the plurality of sprockets (30 to 34), a transfer path that is formed in an area in which the endless member is disposed, a plurality of transfer members that are mounted on the endless member, and respectively support and transfer a molded article having a neck along the transfer path, at least one heating section to heat the neck of the molded article, a cooling section that, cools the neck of the molded article, a molded article supply section that supplies at least one molded article to at least one transfer member and a molded article removal section that removes at least one molded article from at least one transfer member that is situated in the transfer path at a position between the cooling section and the molded article supply section the transfer path includes first to fourth linear transfer paths (41 to 44), the first to fourth linear transfer paths (41 to 44) being parallel to each other, and extending in a direction along the long sides (20A, 20 B), transfer directions of two transfer paths among the first to fourth linear transfer paths (41 to 44) that are adjacent to each other in a direction along the short sides (20C, 20D) being opposite to each other, a plurality of heating sections that are provided along at least the first to third linear transfer paths (41 to 43) among the first to fourth linear transfer paths (41 to 44) that are positioned on an upstream side, and heat the neck of the molded article, and the cooling section is disposed along at least the fourth linear transfer path, that is positioned on a downstream side of the plurality of heating sections, and the at least one transfer member is situated in the transfer path at a position on an upstream side of the plurality of heating sections.