A scheme is proposed for teleportation of an unknown atomic state based on the nonresonant interaction of two coupled two-level atoms with a single-mode cavity field. The scheme only requires the cavity field to be in a coherent state. After the interaction between the atoms and the cavity,the cavity is left in a coherent state. By detecting the states of atoms,an unknown atomic state is teleported. The scheme can also be used to teleport an unknown atomic entangled state.