Terminological competence is an integral component of speech culture of any professional. It presupposes the corresponding terminology basis and skills of using it efficiently. The issue of researching and learning terminological lexis, and thus, the issue of building up terminological competence of future experts in any field have frequently drawn scholars’ attention. At the same time, despite numerous works in the above domain, there are certain gaps in studying the problem considered, which is obvious, taking into account the insufficient quality of the system of activities directed at forming the culture of professional communication, whose part and parcel is terminological competence of future professionals in any field, including future managers. The aim of this work is to analyze opportunities of forming terminological competence while teaching graduate students (majoring in management) the Ukrainian language. To realize the above mentioned aim, it is necessary to reveal the essence and the structure of the concept «terminological competence», as well as to explicate main approaches, methods and steps of forming it. The author of the article analytically sums up material from scientific works of the recent years and offers a vision of terminological competence as a conscious motivated usage of terms in their specific meanings that are fixed in the corresponding terminological dictionaries, applying terms with an emphasis on understanding historical processes in lexis and semantics in general and the development systems of terms, in particular, making terms function from the point of view of lexico-semantic relationships in this field, taking into consideration word valence in terms of patterns «a term – a term», «a term – a common word»; consciously following grammar norms of modern standard Ukrainian while using terminological lexical units; relevantly operating terminological lexical units as scientific style entities in the process of creating scientific texts. The author concludes that forming a high level terminological competence can be ensured only by means of developing a rational system of teaching methods, aimed at step-by-step consistent mastering major terminology that will enable a multi-facet comprehension of terminological vocabularies and their constant high-quality enrichment, enhancing the process of building up skills of working with terminological lexis and of using terms in major-oriented texts in the appropriate way.