In the paper, there is considered the problem of predicting the risk potential of significant plants of the critical information infrastructure under transferring the technological process to emergence states; there is considered a model based on the associative search for predicting a violation by the technological process of admissible operation constraints, as well as there is presented a scheme of influence on each other of levels of the model of significant plants of the critical information infrastructure. The approaches considered in the paper in a totality may be represented in a system of the safety threats monitoring. In the paper, there is considered an example of the risk potential of an oil refining plant at the level of the information and technological infrastructure.