An apparatus for molding a plastic container of the present invention can prevent a safety accident of a user cutting the hand by rimming mold to remove a sharp edge part of the container, and can minimized tearing of a vinyl wrap. The apparatus for molding a plastic container of the present invention is characterized by including a supplying means (200) having multiple containers (10) mounted and supplying by the piece; a transferring means (300) rotating multiple lower molds (310); a preheating means (400) applying heat on the edge part of the containers (10); and a molding means (500) for rimming mold by pressing the edge of the containers (10).