We　study　the　entanglement　dynamics　for　two　atoms　held　in　separate　cavities　which　are　coupled.　We　calculate　the　negativity　for　the　atoms　by　initially　taking　the　atoms　to　be　maximally　entangled　as　well　as　taking　the　cavity　fields　to　be　in　(i)　maximally　entangled　state　1/root　2(vertical　bar　01　＞+vertical　bar　10　＞)　or　(ii)　completely　unentangled　state　vertical　bar　10　＞.　Limited　to　the　particular　two　examples,　we　find　that　in　both　of　the　cases　a　large　coupling　strength　between　the　cavities　maintains　the　maximal　entanglement　for　the　two　atoms　well;　when　the　coupling　strength　is　small,　compared　with　case　(ii),　the　initially　maximally　entangled　fields　only　enhance　the　entanglement　for　the　two　atoms　at　certain　times　instead　of　having　a　total　improvement　on　the　entanglement.　We　also　investigate　the　entanglement　dynamics　by　taking　into　account　the　dissipation.　(C)　2013　Elsevier　B.V.　All　rights　reserved.