We　discuss　how　to　generate　entangled　coherent　states　of　four　microwave　resonators　(a.k.a.　cavities)　coupled　by　a　three-level　superconducting　device　(qutrit).　We　also　show　that　a　Greenberger-Horne-Zeilinger　(GHZ)　state　of　four　superconducting　qubits　embedded　in　four　different　resonators　can　be　created　with　this　scheme.　In　principle,　the　proposed　method　can　be　extended　to　create　an　entangled　coherent　state　of　n　resonators　and　to　prepare　a　(GHZ)　state　of　n　qubits　distributed　over　n　cavities　in　a　quantum　network.　In　addition,　it　is　noted　that　four　resonators　coupled　by　a　coupler　qutrit　may　be　used　as　a　basic　circuit　block　to　build　a　two-dimensional　quantum　network,　which　is　useful　for　scalable　quantum　information　processing.　©　2013　American　Physical　Society.