There are a lot of continuous values and various kinds of cognitive information (knowledge). Firstly, for describing and handling the knowledge, in this paper, they are divided into two parts: a continuous cognitive result and its cognitive structure. Secondly, a cognitive structure and a cognitive inference network are put forward, and they are integrated into a continuous cognitive structure. Thirdly, a continuous cognitive inferential network based on continuous cognitive structure is proposed. Fourthly,a set of inference approaches are discussed utilizing the continuous cognitive structure.The inference is non-monotonous upon incomplete inference network.The most simplified computational complexity of inference is linear is linear to the inferential nodes under the most complex condition.Finally,the suitability of the approach in practical problem is shown by an example.