A hinge device for rotatably moving and/or controlling during closing and/or opening a closing element, such as a door, a shutter or the like, anchored to a stationary support structure, such as a wall or a frame, the device including: - a fixed element anchored to the stationary support structure; - a movable element anchored to the closing element, one of said fixed element and movable element including a first tubular half-shell which includes a working chamber defining a longitudinal axis, the other of said fixed element and movable element including a second tubular half-shell, the latter and said first tubular half-shell being superimposed one another to mutually rotate around said longitudinal axis between an open position and a closed position; - a pivot positioned along said axis externally to said working chamber, said pivot and said second tubular half-shell being rigidly coupled, said pivot comprising a tubular body; - a plunger member operatively connected to said pivot and inserted within said working chamber to slide along said axis between an end-stroke position proximal to said pivot, corresponding to one of the open and the closed position of the movable element, and an end-stroke position distal therefrom, corresponding to the other of the open and the closed position of the movable element; - an elongate cylindrical element extending along said axis having a first end portion inserted within said working chamber mutually connected with said plunger member and a second end portion external to the working chamber sliding within the tubular body of said pivot; - a tubular bushing having a pair of guide cam slots angularly spaced by 180°, said tubular bushing coaxially lying externally to said tubular body of said pivot, wherein said working chamber includes at least one of: - a working fluid acting on said plunger member to hydraulically counteract the action thereof; - elastic counteracting means acting on said plunger member for returning thereof from one of said proximal and distal end-stroke positions to the other of said proximal and distal end-stroke positions; wherein said pivot includes at least one pair of grooves (70', 70") equal to each other angularly spaced by 180° each comprising at least one helical portion (71', 71") wound around said axis, said grooves (70', 70") being communicating with each other to define a single passing-through actuating member; wherein said second end portion of said elongated element includes a pin inserted through said passing-through actuating member and in said guide cam slots to slide therethrough, in such a manner to mutually engage said pivot, said elongated cylindrical element and said bushing; wherein said first tubular half-shell includes an end portion operatively coupled with said pivot, said bushing and said first tubular half-shell being unitary coupled to each other in order to allow said cam slots to guide the sliding of said pin actuated by said passing-through actuating member, said bushing and said second tubular half-shell being coaxially coupled in such a manner that one defines the rotation axis of the other; characterized in that the hinge further comprises at least one stop screw in the proximity of one of the top or bottom end (2, 3) of the device, said at least one stop screw including a first end susceptible to selectively interact with said second end portion of said elongated cylindrical element and a second end to be operated from the outside by a user to adjust the stroke thereof along said axis, said at least one stop screw being inserted within said pivot at said end portion to slide along said axis between a rest position away from the second end portion of the elongated cylindrical element and a working position in contact therewith. - a fixed element anchored to the stationary support structure; - a movable element anchored to the closing element, one of said fixed element and movable element including a first tubular half-shell which includes a working chamber defining a longitudinal axis, the other of said fixed element and movable element including a second tubular half-shell, the latter and said first tubular half-shell being superimposed one another to mutually rotate around said longitudinal axis between an open position and a closed position; - a pivot positioned along said axis externally to said working chamber, said pivot and said second tubular half-shell being rigidly coupled, said pivot comprising a tubular body; - a plunger member operatively connected to said pivot and inserted within said working chamber to slide along said axis between an end-stroke position proximal to said pivot, corresponding to one of the open and the closed position of the movable element, and an end-stroke position distal therefrom, corresponding to the other of the open and the closed position of the movable element; - an elongate cylindrical element extending along said axis having a first end portion inserted within said working chamber mutually connected with said plunger member and a second end portion external to the working chamber sliding within the tubular body of said pivot; - a tubular bushing having a pair of guide cam slots angularly spaced by 180°, said tubular bushing coaxially lying externally to said tubular body of said pivot, - a working fluid acting on said plunger member to hydraulically counteract the action thereof; - elastic counteracting means acting on said plunger member for returning thereof from one of said proximal and distal end-stroke positions to the other of said proximal and distal end-stroke positions;