An elongate mounting strip for mounting screens to structures includes an elongate base that can be secured to the structure with screws, bolts, rivets, adhesives, etc. The elongate base includes an array of relatively stiff filaments or hooks or posts over which the edge of the screen can be stretched and secured. The filaments or hooks engage through and hook onto the openings in the screen to secure the screen in place. A protective and decorative cover is provided for concealing this attachment.