Abstract: The invention described is a swimming pool covering system of the type comprising a basic tarpaulin (2) and a covering tarpaulin (3) which are, together, irremovably fixed along the perimetric edge, an inflation valve (4) envisaged for the inlet of air between the basic tarpaulin (2) and the covering tarpaulin (3) in order to realize a chamber (5) and give the covering tarpaulin an arched configuration, a deflation valve (6) envisaged for the release of the air contained within the chamber (5). The basic tarpaulin has a perimetric edge (20) fitted with means of engagement for the anchorage to the swimming pool edges.