The　generation,　manipulation　and　fundamental　understanding　of　entanglement　lies　at　very　heart　of　quantum　mechanics.　Among　various　types　of　entangled　states,　the　NOON　states　are　a　kind　of　special　quantum　entangled　states　with　two　orthogonal　component　states　in　maximal　superposition,　which　have　a　wide　range　of　potential　applications　in　quantum　communication　and　quantum　information　processing.　Here,　we　propose　a　fast　and　simple　scheme　for　generating　NOON　states　of　photons　in　two　superconducting　resonators　by　using　a　single　superconducting　transmon　qutrit.　Because　only　one　superconducting　qutrit　and　two　resonators　are　used,　the　experimental　setup　for　this　scheme　is　much　simplified　when　compared　with　the　previous　proposals　requiring　a　setup　of　two　superconducting　qutrits　and　three　cavities.　In　addition,　this　scheme　is　easier　and　faster　to　implement　than　the　previous　proposals,　which　require　using　a　complex　microwave　pulse,　or　a　small　pulse　Rabi　frequency　in　order　to　avoid　nonresonant　transitions.