We　have　proposed　an　alternative　scheme　for　teleportation　of　two-atom　entangled　state　in　cavity　QED.　It　is　based　on　the　degenerate　Raman　interaction　of　a　single-mode　cavity　field　with　a　A-type　three-level　atom.　The　prominent　feature　of　the　scheme　is　that　only　one　cavity　is　required,　which　is　prior　to　the　previous　one.　Moreover,　the　atoms　need　to　be　detected　are　reduced　compared　with　the　previous　scheme.　The　experimental　feasibility　of　the　scheme　is　discussed.　The　scheme　can　easily　be　generalized　for　teleportation　of　N-atom　GHZ　entangled　states.　The　number　of　the　atoms　needed　to　be　detected　does　not　increase　as　the　number　of　the　atoms　in　GHZ　state　increases.　©　International　Academic　Publishers.