The present invention relates to micro-/nanostructured compound-eye arrays and fabrication method thereof, and discloses a fabrication method and applications for the molded polymer parts with the micro-/nanostructured compound-eye arrays on their surfaces, which exhibit both hydrophobicity and light trapping. The fabrication method for the molded polymer parts with the micro-/nanostructured compound-eye arrays includes following steps. A flexible microlens array template is assembled; the flexible microlens array template is fixed on an injection mold cavity, and a polymer part with microlens arrays distributing on its surface is molded by using injection molding; the microlens arrays on the molded polymer part are imprinted onto the surface of an ultra-pure aluminum foil, nanopores are formed on its surface via anode oxidation, and so an aluminum template with negative micro-/nanostructured compound-eye arrays is fabricated; the aluminum template is fixed on an injection mold cavity, and a polymer part with micro-/nanostructured compound-eye arrays distributing on its surface is molded by using injection molding. The dual-level compound-eye arrays (orderly distributed convex semi-sphere microlens and densely distributed nanopillars) are developed on the surface of the molded polymer part, which exhibits both hydrophobicity and light trapping.