A　scheme　is　proposed　to　deterministically　generate　multi-atom　Greenberger-Horne-Zeilinger　(GHZ)　states　trapped　in　coupled　cavities,　which　is　based　on　the　adiabatic　passage　of　the　dark　state.　The　scheme　does　not　need　to　adjust　the　interaction　time　accurately　and　is　insensitive　to　the　fluctuations　of　some　experimental　parameters.　However,　we　should　choose　the　appropriate　Rabi　frequencies　of　the　classical　fields　to　achieve　the　optimal　characteristic　of　the　system.　In　addition,　we　also　demonstrate　numerically　that　it　is　robust　against　decoherence　caused　by　the　cavity　decay　and　atomic　spontaneous　emission.