A　scheme　of　fast　synthesizing　the　Fredkin　gate　is　proposed　in　cavity　QED　via　quantum　Zeno　dynamics.　Three　atoms　are　trapped　in　three　different　but　directly　coupled　cavities　in　this　scheme.　The　strictly　numerical　simulations　are　given,　and　the　influences　of　cavity　decay　and　spontaneous　emission　on　the　gate　operation　are　analyzed　with　master　equation.　The　result　shows　that　our　scheme　is　robust　against　atomic　spontaneous　emission　because　of　the　large　detuning.　Since　the　atoms　are　separated　in　different　cavities,　it　is　easier　to　manipulate　atoms　experimentally.　©　2014,　Springer　Science+Business　Media　New　York.