  The protocol of the teleportation of an arbitrary unknown one-qubit state is
investigated when the quantum channel is subject to the decoherence from the
non-Markovian environments with the memory effects. The quality of the
teleportation measured by the average fidelity and minimal fidelity can be
enhanced in the non-Markovian channel. The memory effects give rise to the
revival of the fidelity which is better than that obtained by the Markovian
channel.
