Structure for supporting and moving a sheet of an industrial door, comprising: - two vertical support uprights, each suitable to be fixed to a wall that delimits the opening intended to be closed by the industrial door; - a towing carriage slidable along each vertical support upright; - a plurality of towed carriages slidable along each vertical support upright, said towed carriages being superposed on each other vertically along each upright, the lowermost towed carriage being engageable by the towing carriage in the rising phase of the towing carriage along the respective vertical support upright, each towing carriage and each towed carriage being provided with sheet connection means suitable for connection to a respective transverse sheet stiffening element, and with upright coupling means suitable to transfer onto the respective vertical support upright the traction load exerted on the carriage by the respective transverse stiffening element; - two carriage pulling devices (100; 500) operable to translate vertically, each positioned between the respective vertical support upright and the sheet connection means of the carriages and being suitable to pull the towing carriage at least in the direction from the bottom upwards along the vertical support upright, the structure being characterized in that each towing carriage and each towed carriage comprise a pair of parallel side plates whose ends facing the sheet connection means are connected by a plate junction element, each vertical support upright forms a first vertical wall defining a carriage support surface orthogonal with respect to the direction of the traction force exerted by the transverse sheet stiffening elements, said upright coupling means comprise at least one wheel arranged so as to roll along said carriage support surface, the sheet connection means comprise said plate junction element, and each carriage pulling device is positioned between the first vertical wall and the sheet connection means. - two vertical support uprights, each suitable to be fixed to a wall that delimits the opening intended to be closed by the industrial door; - a towing carriage slidable along each vertical support upright; - a plurality of towed carriages slidable along each vertical support upright, said towed carriages being superposed on each other vertically along each upright, the lowermost towed carriage being engageable by the towing carriage in the rising phase of the towing carriage along the respective vertical support upright, each towing carriage and each towed carriage being provided with sheet connection means suitable for connection to a respective transverse sheet stiffening element, and with upright coupling means suitable to transfer onto the respective vertical support upright the traction load exerted on the carriage by the respective transverse stiffening element; - two carriage pulling devices (100; 500) operable to translate vertically, each positioned between the respective vertical support upright and the sheet connection means of the carriages and being suitable to pull the towing carriage at least in the direction from the bottom upwards along the vertical support upright, the structure being characterized in that each towing carriage and each towed carriage comprise a pair of parallel side plates whose ends facing the sheet connection means are connected by a plate junction element, each vertical support upright forms a first vertical wall defining a carriage support surface orthogonal with respect to the direction of the traction force exerted by the transverse sheet stiffening elements, said upright coupling means comprise at least one wheel arranged so as to roll along said carriage support surface, the sheet connection means comprise said plate junction element, and each carriage pulling device is positioned between the first vertical wall and the sheet connection means.