We　propose　a　scheme　for　generating　a　four-dimensional　entanglement　between　two　atoms　trapped　in　two　separate　cavities　connected　by　an　optical　fiber.　Based　on　quantum　Zeno　dynamics,　the　entangled　state　is　obtained　only　in　one　step.　We　also　numerically　investigate　the　influence　of　photon　leakage　and　atomic　spontaneous　emission　on　the　fidelity　of　the　entangled　state.　The　result　shows　that　our　scheme　is　robust　against　the　cavity　decay　and　very　promising　for　realization　with　current　experimental　technology.　©　2011　IOP　Publishing　Ltd.