A friction fit clip fastening system that creates a firm and invisible connection between panels or substrates without the use of tools or glue, comprising a fastener and mating rout. The fastener has a clip element that allows it to clip and connect to a mating rout. Different routs are used for different embodiments of the fasteners. The rout is formed directly in the panel face or edge or formed on a substrate by a router bit that has three cutting edges. The connections made by the friction fit clip fastening system are invisible. The fasteners can be installed at the manufacturing site so the user simply clips or slides the fasteners into the appropriate slot or rout when assembling. The friction fit fastening system is easily removable from the panels making assembling and disassembling quick and easy because the fastener is made of one piece. The friction fit clip fastening system can also be permanent if the permanent rout is used.