An　alternative　scheme　is　presented　for　teleportation　of　a　two-atom　entangled　state　in　cavity　quantum　electrodynamics　(QED).　It　is　based　on　the　resonant　atom-cavity.　eld　interaction.　In　the　scheme,　only　one　cavity　is　involved,　and　the　number　of　the　atoms　needed　to　be　detected　is　decreased　compared　with　the　previous　scheme.　Since　the　resonant　atom-cavity.　eld　interaction　greatly　reduces　the　interaction　time,　the　decoherence　effect　can　be　effectively　suppressed　during　the　teleportation　process.　The　experimental　feasibility　of　the　scheme　is　discussed.　The　scheme　can　easily　be　generalized　to　the　teleportation　of　N-atom　Greeninger-Horne-Zeilinger　(GHZ)　entangled　states.　The　number　of　atoms　needed　to　be　detected　does　not　increase　as　the　number　of　the　atoms　in　the　GHZ　state　increases.