Abstract: A scheme to control teleport a N-qubit entangled GHZ state from the sender Alice to the distant receiver Bob was proposed. During the teleportation procedureN-pair non-maximally entangled EPR state and m-qubit GHZ state were used as the quantum channel. Firstly, the sender Alice made Bell-state measurements on her qubits, then each performed a Hadamard transformation and a projection measurement on their respective GHZ qubit successively, and told receiver Bob the measurement results through classical communication. According to the classical message, Bob can faithfully restore the original state by introducing an auxiliary qubit and performing only one common unitary transformation on his own qubits. The result showed that the total probability of successful teleportation was 2^N+1-m∏(Nk=1ak2 Anyone’s absence will absolutely lead to the failure of teleportation.