A hinge for the controlled rotatable movement of at least one closing element, such as a door, a door leaf or the like, anchored to a stationary support structure, such as a wall, a floor, a frame or the like, the hinge comprising: - a hinge body anchorable to one of the stationary support structure and the at least one closing element and at least one pivot defining a first axis anchorable to the other of the stationary support structure and the at least one closing element, said pivot and said box-shaped hinge body being reciprocally coupled to allow the at least one closing element to rotate between an open position and a closed position; - a working chamber internal to said box-like hinge body defining a second axis, said at least one working chamber including a bottom wall; - at least one plunger element sliding in said working chamber along said second axis between a position proximal to said bottom wall of said at least one working chamber and a position distal therefrom, said at least one plunger element including a cylindrical body; wherein the pivot and the plunger element are engaged with each other so that the rotation of the former about the axis corresponds to the sliding of the latter along the axis between said proximal and distal positions, wherein said at least one working chamber further includes a working fluid acting on said at least one plunger element to hydraulically damp the action thereof, said cylindrical body being inserted in said at least one working chamber for dividing thereof in at least one first and a second variable volume compartment ( 41, 42) in fluidic communication to each other; wherein the cylindrical body includes at least one first passage to allow the passage of the working fluid between said at least one first and second compartment ( 41, 42) upon one of the opening or closing of the at least one closing element, a circuit being provided for the passage of the working fluid between said first and second compartment ( 41, 42) upon the other of the opening or closing of the at least one closing element; wherein said circuit includes an adjusting screw inserted through said hinge body, the adjusting screw comprising a first upper threaded end and a second lower end ( 116"); wherein said first upper threaded end of the adjusting screw is screwed in a corresponding first upper counterthreaded connecting portion of said hinge body, said second lower end ( 116 ") of the adjusting screw being slidably inserted in a corresponding second lower portion ( 11 ") of the hinge body characterized in that said second lower portion ( 11") is a guide portion having an inner surface with at least one contact portion ( 12', 12") abutting against at least one abutment portion ( 117', 117") of the outer surface of said second lower end ( 116") of the adjusting screw, so as to avoid the danger of misalignment of the latter; wherein said second lower end ( 116") includes a hollow seat susceptible to house a substantially frustoconical element coaxially inserted therein, the unscrewing / screwing of said first upper end of said adjusting screw from / in said first upper connecting portion of said hinge body corresponding to the mutual distancing / approaching of said substantially frustoconical element and said adjusting screw, said adjusting screw including a first opening for the inlet / outlet of said working fluid, the inner surface of said hollow seat facing the outer surface of said substantially frustoconical element to define a variable volume interspace therebetween which is fluidically connected to said first opening for the inlet / outlet of said working fluid and to said circuit, said variable volume interspace being interposed therebetween. - a hinge body anchorable to one of the stationary support structure and the at least one closing element and at least one pivot defining a first axis anchorable to the other of the stationary support structure and the at least one closing element, said pivot and said box-shaped hinge body being reciprocally coupled to allow the at least one closing element to rotate between an open position and a closed position; - a working chamber internal to said box-like hinge body defining a second axis, said at least one working chamber including a bottom wall; - at least one plunger element sliding in said working chamber along said second axis between a position proximal to said bottom wall of said at least one working chamber and a position distal therefrom, said at least one plunger element including a cylindrical body;