By　jointly　using　quantum　Zeno　dynamics　and　the　approach　of　＂transitionless　quantum　driving　(TQD)＂　proposed　by　Berry　to　construct　shortcuts　to　adiabatic　passage,　we　propose　an　efficient　scheme　to　fast　generate　multiatom　Greenberger-Horne-Zeilinger　(GHZ)　state　in　separate　cavities　connected　by　optical　fibers　only　by　one-step　manipulation.　We　first　detail　the　generation　of　the　three-atom　GHZ　state　via　TQD;　then,　we　compare　the　proposed　TQD　scheme　with　the　traditional　ones　with　adiabatic　passage.　At　last,　the　influence　of　various　decoherence　factors,　such　as　spontaneous　emission,　cavity　decay　and　fiber　photon　leakage,　is　discussed　by　numerical　simulations.　All　of　the　results　show　that　the　present　TQD　scheme　is　fast　and　insensitive　to　atomic　spontaneous　emission　and　fiber　photon　leakage.　Furthermore,　the　scheme　can　be　directly　generalized　to　realize　N-atom　GHZ　state　generation　by　the　same　principle　in　theory.