A scheme is proposed for the teleportation of atomic states within cavities
. The scheme is insensitive to the cavity field states and cavity decay. Th
e teleportation may be achieved in a simple way. We show how the idea can b
e used to generate multiatom entangled states. In order to entangle it atom
s, we require n - 1 cavities and allow the first cavity to exchange energy
with the environment. The other n - 2 cavities are always in the vacuum sta
te and thus the cavity decay is suppressed.