The present invention provides shaped articles having good transparency and high oxygen permeability in a specific direction thereof, which have been made from a block copolymer (a) composed of a polyalkyl methacrylate segment and a silicone-based polymethacrylate segment, or a block copolymer (b) or graft copolymer (c) containing a polyorganosiloxane as one component, according to a process permitting the creation of a specific higher-order structure. These shaped articles have high oxygen permeability at relatively low silicone contents and, therefore, can provide oxygen-permeable products having high tear strength and surface hardness.