The analysis model of equipment support network with the typical character of rank structure and random connection was discussed from the view point of network science.A new evolving network model of the architecture which is different from the “tree-like” model and the deterministic complex network model introduced by Chen Mu was established.Considering the physical properties of the nodes and the edges,an influencial coefficient showing the randomness in the model was introduced,and the influences of the relevant characterstic parameters on the integrated performance of the network were studied based on the computer simulation,which also verifies that the proposed method is rational and available.