Quantum teleportation is easily effected by noisy environment. In order to decrease this adverse effect induced by the amplitude- damping noisy environment, a scheme for quantum teleportation is proposed based on disentanglement- free state and quantum error- avoiding codes. In this scheme, a kind of disentanglement- free four- qubit state is used as the quantum entanglement channel, and single qubit of the teleportated quantum information is encoded into two qubits. This scheme has the advantages that quantum teleportation has full fidelity and the success probability for this teleportation scheme is 100% . The study has important applications in improvement of quantum communication.