A collapsible overhead enclosure or shelter, especially for swimming pools or to serve as garages, storage sheds or the like. The enclosure consists of a pair of spaced base members and a plurality of shaped struts spanning between the base members mounted thereto at hinge points for swinging movement between a collapsed position and fan-like erected position. The hinge points are arranged in an arcuate pattern on each base member. A sheet of flexible material is supported by the struts and provides an overhead shelter or enclosure when the struts are in their fan-like erected positions. Alternate embodiments include the uppermost mounted strut being articulated at opposed locations so that it may lie flat on the ground when the struts are erected. Further alternate embodiments include reciprocal mounting for the base members whereby they may be moved to one location to collapse the shelter and to avoid interference with a swimming pool or other area. In still another embodiment, a plurality of pairs of base members provide support for an elongated shelter, being movable from a first location in which the pairs of base members are spaced apart and the struts support an erected shelter to a second location with pairs of base members moved together and the struts stacked in a collapsed condition.