For analyzing the small-world structure and scale-free characteristic of the knowledge networks, a formation model has been constructed. The model firstly chose position vertexes by the strategy of preferential attachment to determine the subject field of the knowledge creator, then randomly chose vertexes in the neighbors of position vertexes, this process could reflect creator's limitation in subject field and the introverted nature of the field. The model can construct networks with character of small-world and scale-free and fit different ...