A　robust　scheme　is　presented　for　realizing　entangled　states　for　two　atoms　trapped　in　separate　cavities　connected　by　an　optical　fiber.　The　first　atom　is　initially　in　a　superposition　of　the　excited　state　and　an　auxiliary　ground　state　not　coupled　to　the　first　cavity,　while　the　second　one　is　initially　in　the　ground　state　coupled　to　the　second　cavity.　The　scheme　involves　two　atom-cavity-fiber　interactions　accompanied　by　the　monitoring　of　the　cavity　decay　and　atomic　spontaneous　emission.　The　two　atoms　evolve　to　an　entangled　state　through　exchanging　an　excitation　after　the　first　interaction.　The　states　with　the　excitation　failing　to　be　transferred　are　eliminated　when　a　photon　is　detected　during　the　second　interaction.　Therefore,　the　scheme　is　insensitive　to　the　decoherence　effect　and　detection　inefficiency.