A system for the rotatable coupling of at least one frameless glass shutter or door defining a first plane (π) and a supporting frame thereof, comprising: - a mounting plate anchorable to the supporting frame, said mounting plate including a pivot defining an axis, the mounting plate comprising first means for anchoring thereof to the top of the supporting frame, said pivot extending downwards; - a hinge device anchorable to the at least one frameless glass shutter or door, said hinge device comprising a hinge body which includes a seat to rotatably house said pivot, said seat and said pivot being reciprocally couplable so as to allow said hinge device to rotate around said axis, said seat including an inner surface susceptible to remain at least partially reciprocally faced to said pivot; wherein said hinge body has a substantially plate-like shape defining a second plane ( π '), said hinge device comprising second anchoring means for anchoring thereof to the glass shutter or door which includes at least one fastening plate-shaped element cooperating with said hinge body to fasten the glass shutter or door at opposite sides so that the first plane ( π) of the latter and the second plane ( π ') of the former are substantially parallel or coincident with each other; and characterized in that the system further comprises braking means to brake the reciprocal rotation of said hinge device and said mounting plate around said axis, said braking means including at least one pushing element frictionally acting on at least one first portion of the inner surface of said seat; and further characterized in that the system comprises friction adjusting means acting directly or indirectly on said at least one pushing element to force it against said at least one first portion of the inner surface of said seat. - a mounting plate anchorable to the supporting frame, said mounting plate including a pivot defining an axis, the mounting plate comprising first means for anchoring thereof to the top of the supporting frame, said pivot extending downwards; - a hinge device anchorable to the at least one frameless glass shutter or door, said hinge device comprising a hinge body which includes a seat to rotatably house said pivot, said seat and said pivot being reciprocally couplable so as to allow said hinge device to rotate around said axis, said seat including an inner surface susceptible to remain at least partially reciprocally faced to said pivot; wherein said hinge body has a substantially plate-like shape defining a second plane ( π '), said hinge device comprising second anchoring means for anchoring thereof to the glass shutter or door which includes at least one fastening plate-shaped element cooperating with said hinge body to fasten the glass shutter or door at opposite sides so that the first plane ( π) of the latter and the second plane ( π ') of the former are substantially parallel or coincident with each other; and characterized in that the system further comprises braking means to brake the reciprocal rotation of said hinge device and said mounting plate around said axis, said braking means including at least one pushing element frictionally acting on at least one first portion of the inner surface of said seat; and further characterized in that the system comprises friction adjusting means acting directly or indirectly on said at least one pushing element to force it against said at least one first portion of the inner surface of said seat.