In this paper, a description of the Hopfield/Tank model used for the telecommunication network routing problem is given at first. And then through the "static" (i.e. the eigenvalue and the eigenspace of the connection matrix) and the dynamic analysis of the model, it has been found that the model has the faster rate to converge to the optimal or sub-optimal solutions from an initial value. Therefore the quality of the final solutions can be guaranteed. The influence of the initial value to the final solutions is also concerned in this paper. The simulation results are given at the end of this paper.