We　propose　a　scheme　for　the　generation　of　entangled　states　for　multiple　atoms　trapped　in　three　distant　cavities　connected　by　two　identical　single-mode　fibers.　Compared　with　the　previous　schemes,　the　distinct　advantages　of　the　proposed　scheme　are:　First,　all　the　cavities　in　the　proposed　protocol　can　interact　with　each　other　freely,　which　is　important　in　quantum　communication　and　distributed　quantum　computation.　Secondly,　in　the　scheme,　the　atoms,　cavities,　and　fiber　mode　are　in　resonance.　Thus,　the　required　interaction　time　is　short,　which　is　important　in　view　of　decoherence.　In　principle,　the　proposed　scheme　can　be　extended　to　generate　n　atoms　entangled　states.