A hinge structure is described. A hollow cylinder has a positioning slot in an inner wall thereof. A movable part has a positioning convex portion and a plurality of engraved portions. The positioning convex portion engages with the positioning slot such that the movable part slides within the hollow cylinder. A cover is fixed to the hollow cylinder to secure the movable part and the resilient part within the hollow cylinder. A resilient part is disposed between the cover and the movable part so as to provide the movable part a resilient recovery force. The engraved portions of the movable part are for engaging a rotatable member.