An umbrella screen enclosure system for use with an outdoor umbrella providing a tether system that is attachable, to the umbrella and is configured to form an exoskeleton over the umbrella. The exoskeleton is formed by affixing a plurality of individual tethers to the umbrella and over the spines of the umbrella. Also provided is a screening system that is attached to the exoskeleton by the use of coacting fasteners.