We　propose　a　scheme　for　realizing　conditional　quantum　phase　gates　for　two　atoms　that　are　distributed　in　two　coupled　cavities.　Due　to　the　resonant　interaction　in　temporal　evolution　of　the　entire　system,　the　gate　operation　time　is　greatly　reduced　as　compared　with　that　of　the　nonresonant　schemes.　We　study　the　influence　of　imperfections　in　the　interaction　and　the　effect　of　decoherence　and　find　the　gate　to　be　robust.　We　discuss　the　issue　related　to　the　practical　implementation　and　show　that　the　gate　is　accessible　within　the　current　cavity　QED　technology.　(C)　2010　Elsevier　B.V.　All　rights　reserved.