In a continuous molding apparatus equipped with a long core 10 having a curvature disposed on a plane, a release film supplied from a lower release film feeder 20 is sent onto the core 10, and prepreg sheets supplied from a prepreg sheet feeder 30 are laminated thereon and preformed. A release film supplied from a release film feeder 40 is disposed on top of the laminated body, before the body is sent into a hot press 50. A puller 60 moves the laminated body without loading tension thereto. The laminated body enters a postcure device 70 in which thermosetting of the material is completed.