A hinge device for the rotatable movement of a closing element, such as a door, a window, a shutter or the like, between a closing position and an opening position, includes a fixed element anchorable to a stationary support structure; a movable element anchorable to the closing element so that the movable element rotates around a first longitudinal axis between a first opening position and a second closing position; a plunger that is operatively coupled to the movable element by a coupling system configured so that along a first section of the sliding of a connecting shaft, the plunger does not slide, thereby allowing a free rotation of the movable element, and along a second section of the sliding of the connecting shaft, the plunger slides integrally joined with the connecting shaft, thereby controlling the rotation of the movable element.