A multilayer molded article having good appearance is produced by providing a preheated fiber-reinforced resin sheet (7) between a pair of upper and lower molds (1,2), supplying a thermoplastic resin melt (9) and optionally a foam sheet between the upper mold (2) and the fiber-reinforced resin sheet (7) from a resin supplying opening (4) provided in the lower mold (1) through a hole (8) made in the fiber-reinforced resin sheet (7) and the foam sheet, during the supply of the resin melt (9) or as soon as the resin supply is finished, closing the molds (1,2) to flow and form the resin melt (9) to produce a multilayer molded article made of the fiber-reinforced resin sheet (7), a skin layer of the thermoplastic resin and optionally the foam sheet therebetween.