A hinge device for rotatably moving a closing element (D) comprises a fix element (11) anchorable to the stationary support structure (S) coupled to a movable element (10) anchorable to the closing element (D) for rotating around a first longitudinal axis (X) between an open position and a closed position. The device further includes at least one slider (20) movable along a respective second axis (Y) between a compressed and an extended position. One between the movable element (10) and the fix element (11) includes at least one operating chamber (30) defining the second axis (Y) so as to slidably house the slider (20), the other element comprising a pivot (40) defining the first axis (X). The pivot (40) and the slider (20) are reciprocally coupled so that to the rotation of the movable element (10) around the first axis (X) corresponds the sliding of the slider (20) along the second axis (Y) and vice versa.