We　propose　scheme　for　transferring　quantum　state　between　any　pair　of　nodes　in　a　quantum　network.　Each　node　consists　of　an　atom　and　a　cavity,　with　the　atom　acting　as　the　quantum　bit.　Any　two　adjacent　nodes　are　connected　by　an　optical　fiber.　During　the　operation　neither　the　atomic　system　nor　the　fibers　are　excited,　which　is　important　in　view　of　decoherence.　Under　certain　conditions,　the　probability　that　the　cavities　are　excited　is　negligible.　The　method　has　an　inherent　robustness　against　the　fluctuation　perturbations　in　the　classical　control　parameters　and　the　randomness　in　the　atomic　position.　The　scheme　can　be　generalized　to　implement　quantum　phase　gate　between　any　two　remote　qubits.