In　this　paper,　we　propose　an　effective　scheme　for　generation　of　N　-dimension　atomic　Greenberger-Horne-Zeilinger　states　with　the　controlled　phase　flip　gates.　The　successful　probability　of　our　scheme　is　100　%　in　principle.　The　scheme　is　implemented　with　simple　linear　optical　elements,　delay　lines　and　polarization-independent　circulators.　We　discuss　the　feasibility　of　the　setups,　concluding　that　the　scheme　is　feasible　with　current　technology.　©　2014　Springer　Science+Business　Media　New　York.