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, which is anchored to a stationary support structure, such as a wall or a frame, the device including: - a fixed element anchorable to the stationary support structure; - a movable element anchorable to the closing element, said movable element and said fixed element being mutually coupled to rotate around a longitudinal axis between an open position and a closed position; - at least one slider ( 30, 60) slideable along said axis between a first end-stroke position, corresponding to one of said closed and open positions, and a second end-stroke position, corresponding to the other of said closed and open positions; wherein one of said fixed element and movable element comprises at least one working chamber defining said longitudinal axis for slidably housing said at least one slider ( 30, 60), the other of said fixed element and movable element comprising a pivot defining said axis, said pivot and said at least one slider ( 30, 60) being mutually coupled in such a manner that the rotation of the movable element around said axis corresponds to the at least partial sliding of the at least one slider ( 30, 60) along said axis and vice-versa; wherein said working chamber further includes elastic counteracting means acting on said at least one slider ( 30, 60) for the returning thereof from one of said first and second end-stroke positions toward the other of said first and second end-stroke positions, said elastic counteracting means being movable between a position of maximum and minimum elongation; wherein said pivot includes a cylindrical portion having at least one pair of substantially equal grooves ( 70', 70") angularly spaced of 180° each including at least one helical portion ( 71', 71") wound around said axis, said grooves ( 70', 70") being communicating with each other to define a passing-through helical element, a tubular bushing being provided having a pair of cam slots angularly spaced of 180° located externally to said pivot and/or said at least one slider (30, 60); wherein said at least one slider ( 30, 60) includes at least one end comprising a pin inserted into said passing-through helical element and into said cam slots to slide theretrough, in such a manner to reciprocally engage said pivot, said at least one slider ( 30, 60) and said bushing; wherein said at least one helical portions ( 71', 71") are right-handed, respectively left-handed, said cam slots including at least one first portion extending substantially parallel to said axis or slightly inclined with respect to the latter with inclination opposed to the one of said grooves ( 70', 70") of said pivot, wherein said helical passing-through element is closed at both ends so as to define a first closed path having two end blocking points ( 74', 74") for the pin sliding therethrough, the first closed path being defined by said grooves ( 70', 70"), characterized in that said cam slots include at least one second portion ( 84") extending substantially perpendicularly thereto; wherein when the pin slides along the first portion of said cam slots said elastic counteracting means move between the positions of maximum and minimum elongation, and wherein when the pin slides along the second portion ( 84") of said cam slots said elastic counteracting means remain in said position of minimum or maximum elongation; said first and second portions ( 84', 84") of said cam slots being closed at both ends so as to define a second closed path having at least one first blocking point in correspondence of said first portion and at least one second blocking point (87", 87'") in correspondence of said second portion ( 84") for the pin sliding therethrough; wherein the sliding of the pin through said at least one first portion of said cam slots starting from said at least one first blocking point corresponds to the movement of said elastic counteracting means from the position of maximum elongation to the one of minimum elongation, said cam slots of said bushing further including at least one shock-absorbing portion (287', 287") in correspondence of said at least one second blocking point (87", 87'") of said at least one second portion ( 84") of said cam slots, said at least one shock-absorbing portion (287', 287") extending substantially parallel to said axis in a direction concordant to the moving direction of the pin through said at least one first portion of said cam slots starting from said at least one first blocking point to allow a further minimum compression of said elastic counteracting means, so as to absorb the shock withstood by the closing element due to the impact of said pin against said at least one second blocking point (87", 87'"). - a fixed element anchorable to the stationary support structure; - a movable element anchorable to the closing element, said movable element and said fixed element being mutually coupled to rotate around a longitudinal axis between an open position and a closed position; - at least one slider ( 30, 60) slideable along said axis between a first end-stroke position, corresponding to one of said closed and open positions, and a second end-stroke position, corresponding to the other of said closed and open positions;