Transfer means disposed around an extrusion port of an extruder alternately cut molten resin extruded from the extrusion port of the extruder to a predetermined length, transfer the cut molten resin to supply positions set for the respective transfer means, and sequentially supply the cut molten resin to plural compression molding dies which are installed so as to pair up with the respective transfer means to compression-mold the cut molten resin. Consequently, in the manufacturing of a synthetic resin molded article having a predetermined shape by cutting molten resin extruded from an extruder, supplying the cut molten resin to a compression molding die, and compression-molding the cut molten resin, the above constitution can also be suitably applied to the manufacturing of a synthetic resin molded article requiring the application of a higher load. Further, not only the molten resin can be supplied to the compression molding die with satisfactory accuracy, but also even after the molten resin is supplied to the compression molding die, the positional accuracy of the supplied molten resin can be prevented from being impaired.