A pressurized gas storage system, comprising: - A plurality of tubes distributed according to a matrix arrangement with the axes of the tubes parallel to each other, the gas being stored in the interior thereof, - collectors configured to be connected at the ends of the tubes in a manifold plug kind, closing the inside volume of all the tubes of the system, and - at least one belt which wraps the assembly formed by the tubes connected to the collectors, bear the load that the pressurized gas inside the tubes exerts on the collectors, wherein at least one collector has a port that serves as a gas inlet and outlet to the system, - at least one collector has inside an internal conduit which allows fluidic connection between all the tubes of the system, with at least one channel connected to the port, - covers are located on the sides of the system that are not enclosed by the belt, - a rigid foam occupies the volume comprising the outside of the tubes delimited by the interior volume defined by the belt, the collectors and the covers, - the collectors have an accommodation configured for the insertion of a portion of the length of each tube into the inside of the collectors, - between the end of the tubes and the accommodation there is a bonding surface with an over-thickness of welding material, adhesive and/or mechanical adjustment, - covers have folded flanges which overlap the belt in order to have a coupling with welding, adhesive and/or mechanical connection between both components, - covers have flanges overlapping part of the lateral surface of the collector in order to carry out a coupling with welding, adhesive and/or mechanical connection between both components, and - a coating liner on the inner surface of the tubes decreases the permeability through the walls of the tube of the gas stored inside the tubes, the system wherein - the accommodation presents a groove forming the geometric shape of the cross section of the tube and with a similar width as the wall thickness of the tube and a depth that allows the portion of the length of each tube to be inserted to the inside of the collectors, so that the accommodation and the tubes are structurally and sealing joined, - the-bonding surface comprises the entire area of contact between the collector and the tube as it is inserted one into the other, and - a seam of welded or adhesive bonding material is applied between the tube and the collector at the outer surface of the tube and the outer edge of the accommodation at the surface of the collector exposed to the tubes. - A plurality of tubes distributed according to a matrix arrangement with the axes of the tubes parallel to each other, the gas being stored in the interior thereof, - collectors configured to be connected at the ends of the tubes in a manifold plug kind, closing the inside volume of all the tubes of the system, and - at least one belt which wraps the assembly formed by the tubes connected to the collectors, bear the load that the pressurized gas inside the tubes exerts on the collectors, - at least one collector has inside an internal conduit which allows fluidic connection between all the tubes of the system, with at least one channel connected to the port, - covers are located on the sides of the system that are not enclosed by the belt, - a rigid foam occupies the volume comprising the outside of the tubes delimited by the interior volume defined by the belt, the collectors and the covers, - the collectors have an accommodation configured for the insertion of a portion of the length of each tube into the inside of the collectors, - between the end of the tubes and the accommodation there is a bonding surface with an over-thickness of welding material, adhesive and/or mechanical adjustment, - covers have folded flanges which overlap the belt in order to have a coupling with welding, adhesive and/or mechanical connection between both components, - covers have flanges overlapping part of the lateral surface of the collector in order to carry out a coupling with welding, adhesive and/or mechanical connection between both components, and - a coating liner on the inner surface of the tubes decreases the permeability through the walls of the tube of the gas stored inside the tubes, the system wherein - the accommodation presents a groove forming the geometric shape of the cross section of the tube and with a similar width as the wall thickness of the tube and a depth that allows the portion of the length of each tube to be inserted to the inside of the collectors, so that the accommodation and the tubes are structurally and sealing joined, - the-bonding surface comprises the entire area of contact between the collector and the tube as it is inserted one into the other, and - a seam of welded or adhesive bonding material is applied between the tube and the collector at the outer surface of the tube and the outer edge of the accommodation at the surface of the collector exposed to the tubes.