Realizing the teleportation of a quantum state, specially the teleportation of a many-qubit quantum state, is of great importance in quantum information. A scheme of teleporting a two-qubit unknown atomic state is proposed. In this scheme, two pairs of entangled states are used as quantum channel instead of using a three-particle entangled state. And this scheme can also be generalized for the teleportation of the N- qubit atomic state.