The article deals with the interaction between the “conflict” and “crisis” event concepts in the cognitive modelling process. The developed modelling procedure is focused on the analysis of “conflict” and “crisis” lexical units represented in the lexicographic sources and economic media texts’ fragments of “The Financial Times” dated 2018. According to the main trend expounded by Russian and foreign researchers, the cognitive modelling scheme is based on a conceptual analysis. The “conflict” and “crisis” concepts’ verbal representations reflect their referential properties in the economic media text in accordance with its covered topic. The “conflict” and “crisis” cognitive models are specified through the structure of the concepts by means of cognitive criterion located in its core, close and far periphery. The study of economic media texts suggests that lexical units with negative connotations are the explicit identifiers of the “conflict” and “crisis” concepts. It is stated that the “conflict” and “crisis” concepts’ interaction is characterised by the whole range of parameters. In media texts the content of the concept “conflict” narrows to the trade wars. The concept “crisis” acquires the common meaning of the lexical unit “crisis”. The article is addressed to linguists interested in the cognitive language research.