In　this　paper,　a　scheme　for　the　generation　of　long-living　entanglement　between　two　distant　Λ-type　three-level　atoms　separately　trapped　in　two　dissipative　cavities　is　proposed.　In　this　scheme,　two　dissipative　cavities　are　coupled　to　their　own　non-Markovian　environments　and　two　three-level　atoms　are　driven　by　the　classical　fields.　The　entangled　state　between　the　two　atoms　is　produced　by　performing　Bell　state　measurement　(BSM)　on　photons　leaving　the　dissipative　cavities.　Using　the　time-dependent　Schördinger　equation,　we　obtain　the　analytical　results　for　the　evolution　of　the　entanglement.　It　is　revealed　that,　by　manipulating　the　detunings　of　classical　field,　the　long-living　stationary　entanglement　between　two　atoms　can　be　generated　in　the　presence　of　dissipation.　©　2017　Optical　Society　of　America.