We　propose　a　scheme　for　the　deterministic　generation　of　qutrit　entanglement　for　two　atoms　trapped　in　an　optical　cavity.　Taking　advantage　of　the　adiabatic　passage,　the　operation　is　immune　to　atomic　spontaneous　emission　as　the　atomic　excited　states　are　never　populated;　under　certain　conditions,　the　probability　that　the　cavity　is　excited　is　negligible.　We　also　study　the　influences　of　the　dissipation　due　to　the　atomic　spontaneous　emission　and　cavity　decay.　©　2010　Chinese　Physical　Society　and　IOP　Publishing　Ltd.