For the high-risks of construction logistics, a reasonable transportation route is able to reduce the risk effectively and ensure that the materials can reach the construction site successfully. Based on the features of construction logistics and the complex network theory, influence factors in the process of transportation have been converted into the weights of the edge. Then, the average shortest path has been calculated to direct the choice of transportation routes, which can provide the basis for the transport route of construction logistics selection. According to the computer simulation and empirical analysis, the paper finally has analyzed the transport network topology and found the important nodes to reduce the risk of transportation. Finally, the paper put forward the optimal path and verify this method's effectiveness by empirical analysis.