In the last decade there has been considerable interest in the problem of enterprises crisis resolution. It is related to the fact that a number of economic crises hit many countries. This paper presents a new approach to assess the resilience to crisis of enterprises. For this purpose, we propose to develop the traditional expert system. The expert system is based on predicate rules that contain two premises and one logical judgment. We propose to use the integral index of the enterprise non-dynamism and the total number of enterprise employees as input variables. The output variable is a probabilistic assessment of the enterprise crisis resolution. The developed expert system makes it possible to identify the most vulnerable enterprises in a crisis period.