Targeting the quantum communication network based on entangled states, a network model is proposed. According to the model, the quantum channel establishing rate of basic links is then analyzed. For different quantum channel establishment methods, the quantum channel establishing rates of long relay links are also analyzed. Then the quantum channel establishing rates corresponding to the point-by-point method and segmentation method are calculated. Finally, the quantum channel establishing rate between two arbitrary points in a large-scale quantum entanglement communication network is analyzed based on the percolation model. The quantum channel establishing rate in a quantum communication network of n nodes is Ω (1/n).