Fine arts in the Republic of Moldova in the social–cultural context of the 1940s—1990s (Methodological aspects in investigating the problem). There are no sources in our republic, which reflect the problems of investigations in the domain of the history of arts from a methodological point of view that could correspond to contemporary demands. The author of this article proposes one of the ways of methodological structuring of investigating the subject. As a result of analyses she distinguished the main important aspects of studying the problem and described the methods of obtaining them. In conclusion, the author paid attention to the necessity of more publications with methodological aspect, to making investigations in the domain of the history and theory of arts. Practical and theoretical guidance in this field could be very useful especially for the young generation involved in scientific research.