Over　the　past　decade,　several　works　have　been　devoted　to　the　generation　of　entangled　states　with　superconducting　(SC)　qubits.　Recently,　attention　has　shifted　to　the　generation　of　entangled　states　with　SC　qutrits　(three-level　quantum　systems).　However,　the　existing　works　are　limited　to　the　preparation　of　a　maximally　entangled　EPR　pair　with　two　SC　qutrits　and　a　GreenbergerHorne-Zeilinger　(GHZ)　entangled　state　of　three　SC　qutrits.　We　here　propose　a　simple　method　to　create　a　GHZ　entangled　state　of　multiple　SC　qutrits　in　circuit　QED.　The　GHZ　state　is　generated　by　employing　multiple　SC　qutrits　coupled　to　a　microwave　cavity　or　resonator.　This　proposal　essentially　operates　by　the　cavity-qutrit　dispersive　interaction.　By　using　this　proposal,　a　GHZ　state　with　an　arbitrary　number　of　SC　qutrits　can,　in　principle,　be　created.　Since　only　a　coupler　cavity　is　utilized,　the　circuit　hardware　resources　are　minimized.　No　auxiliary　energy　levels　of　the　qutrits　are　needed　for　the　entangled　state　preparation.　The　GHZ　state　can　be　created　deterministically.　As　an　example,　we　analyze　the　experimental　feasibility　of　preparing　a　GHZ　state　of　five　SC　transmon　qutrits　within　current　circuit　QED　technology.　This　proposal　is　universal　and　can　be　extended　to　create　a　GHZ　entangled　state　of　multiple　matter　qutrits　(e.g.,　atomic　qutrits,　quantum-dot　qutrits,　NV-center　qutrits,　Magnon　qutrits,　and　various　SC　qutrits)　by　employing　multiple　natural　or　artificial　three-level　atoms　coupled　to　a　microwave　or　optical　cavity.