Modular covering system, to associate with one or more loadbearing structures (11,12), comprising - a plurality of identical adjacent covering sheets quadrangular in shape, adapted to be arranged adjacent to one another and at least partially according to a matrix arrangement, - flexibles bands for covering the border areas between adjacent sheets, arranged to overlap the edge areas of said sheets in the border areas they must cover, one band made by a single piece of continuous material being provided to cover the border area between two adjacent sheets, - connection means of said bands with the respective sheets, said connection means being adapted to provide a reversible connection with at least one of said sheets, wherein said sheets comprise, along their perimeter, close to the edge area, a plurality of eyelets for fixing to the supporting structures with which they are associated, by means of cables, hooks or the like; said covering bands being arranged to overlap said eyelets, wherein each sheet (14 ba) comprises a first side (14 ba i) along which, parallel thereto, there is joined, by means of a joining strip thereof, a said band (17 ba i), said band being arranged on the upper face of said sheet and protruding with respect to the edge of said first side to be able to overlap a sheet (14 ca) arranged adjacent to said first side; said band comprising reversible connection means to said adjacent sheet, said reversible connection means comprising an upper connection strip provided on said band and a lower strip produced on said adjacent sheet, adapted for connection with said upper strip, wherein each sheet comprises a second side (14 ba d), contiguous to said first side (14 ba i), along which, parallel thereto, there is joined, by means of a joining strip thereof, a second said band (17 ba d), said second band being arranged on the upper face of said sheet and protruding with respect to the edge of said second side to be able to overlap a sheet (14 bb) arranged adjacent to said second side; said second band comprising reversible connection means to said adjacent sheet, said reversible connection means comprising an upper connection strip (22 ba d) provided on said second band and a lower strip (23 bb s) produced on said adjacent sheet, adapted for connection with said upper strip. - a plurality of identical adjacent covering sheets quadrangular in shape, adapted to be arranged adjacent to one another and at least partially according to a matrix arrangement, - flexibles bands for covering the border areas between adjacent sheets, arranged to overlap the edge areas of said sheets in the border areas they must cover, one band made by a single piece of continuous material being provided to cover the border area between two adjacent sheets, - connection means of said bands with the respective sheets, said connection means being adapted to provide a reversible connection with at least one of said sheets, wherein said sheets comprise, along their perimeter, close to the edge area, a plurality of eyelets for fixing to the supporting structures with which they are associated, by means of cables, hooks or the like; said covering bands being arranged to overlap said eyelets, wherein each sheet (14 ba) comprises a first side (14 ba i) along which, parallel thereto, there is joined, by means of a joining strip thereof, a said band (17 ba i), said band being arranged on the upper face of said sheet and protruding with respect to the edge of said first side to be able to overlap a sheet (14 ca) arranged adjacent to said first side; said band comprising reversible connection means to said adjacent sheet, said reversible connection means comprising an upper connection strip provided on said band and a lower strip produced on said adjacent sheet, adapted for connection with said upper strip, wherein each sheet comprises a second side (14 ba d), contiguous to said first side (14 ba i), along which, parallel thereto, there is joined, by means of a joining strip thereof, a second said band (17 ba d), said second band being arranged on the upper face of said sheet and protruding with respect to the edge of said second side to be able to overlap a sheet (14 bb) arranged adjacent to said second side; said second band comprising reversible connection means to said adjacent sheet, said reversible connection means comprising an upper connection strip (22 ba d) provided on said second band and a lower strip (23 bb s) produced on said adjacent sheet, adapted for connection with said upper strip.