A plurality of support members for the pool enclosure extend upwardly from a foundation and then curve out over the pool and are fastened at their opposite ends to a steel gutter which in turn is secured to the eave of a house. Each support member, except the end two, includes a pair of tracks on either side such that a flexible, insulated panel can be slidably supported between a pair of adjacent support members in one of said tracks, while a second flexible, insulated panel can be supported between adjacent support members and the second track. Each end support member includes a pair of tracks only on one side, pointing inwardly.