A logistic system for managing and displacing materials located inside a vertical modular structure for industrial use or intended for hydroponic cultivation or other similar cultivations, said structure comprising: a) a first series of shelves next to each other and a second series of shelves next to each other, the first series of shelves being arranged in front of the second series of shelves, a central aisle of circulation being obtained between the first series of shelves and the second series of shelves, each of said shelves (23, 24) being made up of a first pair of uprights (21, 22) facing towards said central aisle and a second pair of uprights (26, 27) facing towards the opposite side, said uprights of each shelf (23, 24) being retained by structural cross members to form a quadrilateral arrangement; b) a series of supports arranged towards the inside of said first pair of uprights (21, 22) and connected to said second pair of uprights (26, 27), so as to be able to constitute opposite rests to support a plurality of trays, containing articles or products subject to being extracted/inserted for the management or movement thereof; c) at least one carriage equipped with a movement system with wheels or belts projecting from the upper side, destined to pick up and/or reposition said trays from/towards at least one of said series of supports and also to move them among different shelves, and of sliding wheels for the movement of the carriage on said central aisle of circulation; wherein each of said uprights (21, 22) is provided with cuts or recesses at a constant pitch forming toothed racks arranged on the sides facing outside the shelves which face towards said central aisle of circulation and wherein said carriage comprises motorised means with toothed wheels, rotating on a fixed axis, cooperating with two pairs of uprights (21, 22) forming said toothed racks, each upright (21, 22) being fixed to two opposite modular shelves (23, 24) so as to enable said carriage to rise and descend in order to move, from the level of the trays to be moved, to the level of translation on the ground or vice versa, characterised in that at the lower portion thereof, the uprights (21, 22) have a recess which enables the carriage equipped with toothed wheels which project for a certain portion of the two opposite edges thereof, to pass between the first and the second series of shelves during the sliding on the ground and in that in order for the toothed wheels to engage on the toothed racks the carriage is provided with a lifting system, activated by motor organs located inside the carriage. a) a first series of shelves next to each other and a second series of shelves next to each other, the first series of shelves being arranged in front of the second series of shelves, a central aisle of circulation being obtained between the first series of shelves and the second series of shelves, each of said shelves (23, 24) being made up of a first pair of uprights (21, 22) facing towards said central aisle and a second pair of uprights (26, 27) facing towards the opposite side, said uprights of each shelf (23, 24) being retained by structural cross members to form a quadrilateral arrangement; b) a series of supports arranged towards the inside of said first pair of uprights (21, 22) and connected to said second pair of uprights (26, 27), so as to be able to constitute opposite rests to support a plurality of trays, containing articles or products subject to being extracted/inserted for the management or movement thereof; c) at least one carriage equipped with a movement system with wheels or belts projecting from the upper side, destined to pick up and/or reposition said trays from/towards at least one of said series of supports and also to move them among different shelves, and of sliding wheels for the movement of the carriage on said central aisle of circulation;