A hinge for a door anchored to a wall, the hinge including a fixed element coupled to the wall and a movable element coupled to the door. The fixed and movable elements rotate between an open position and a closed position about a first longitudinal axis. One of the movable and fixed elements includes cam means rotating about the first longitudinal axis, the other of the movable and fixed elements including follower means mutually interacting with the cam means for sliding along a second longitudinal axis substantially perpendicular to the first axis. The follower means includes an elastic counteracting element. The cam means includes a first cam element interacting with the follower means for movement from end-stroke positions to an intermediate position and vice-versa. The cam means further includes a second cam element interacting with the follower means for movement from the intermediate position to the end-stroke positions and vice-versa.