A　scheme　is　proposed　for　generating　a　four-dimensional　entangled　state　for　two　atoms　trapped　in　a　cavity　by　one　step　via　adiabatic　passage.　The　scheme　does　not　need　the　exact　control　of　the　experimental　parameters　and　the　evolution　time.　Its　predominant　decohence　factor　depends　on　the　magnitude　of　classical　Rabi　frequencies,　therefore,　there　exists　a　reasonable　value　range　of　Rabi　frequencies　of　the　classical　fields.　Numerical　simulation　indicates　that　the　excited　probabilities　of　the　atoms　and　the　cavity　modes　are　very　small,　so　the　scheme　is　very　robust　against　decoherence.　The　four-dimensional　entanglement　can　be　generated　with　a　high　fidelity　with　present　technique.　(C)　2012　Elsevier　B.V.　All　rights　reserved.