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Quantum Key Distribution (QKD) is an ingenious application of quantum mechanics in information field. In this paper, it provides a novel algorithm for three group to establish a quantum key over a long distance. The slaves node send qubits to the master node in the first group and the three master nodes in the three groups share Greenberger-Horne-Zeilinger (GHZ), send qubits to one of slave nodes in group 3. Compared with the classical network architecture, it is proved in theory that an eavesdropper (Eve) invariably introduce errors within communication network if it wants to gain useful information. The nodes must find Eve to guarantee the security of the network.