In　this　paper,　we　have　studied　the　dynamics　of　a　coupled　cavity　system　with　the　help　of　strong　classical　fields.　We　show　that　the　deterministic　multi-atom　Greeberger-Horne-Zeilinger　(GHZ)　states　can　be　obtained　under　certain　conditions.　With　the　help　of　strong　classical　fields,　the　system　works　in　a　fast　way.　Moreover,　the　proposed　scheme　is　independent　of　the　photon　number　of　the　cavity　field.　Thus　the　scheme　is　insensitive　to　cavity　decay　and　thermal　field.　In　addition,　the　operation　time　does　not　increase　with　increasing　the　number　of　atoms.　These　are　of　importance　from　the　experimental　point　of　view.　©　2012　The　Royal　Swedish　Academy　of　Sciences.