The cultural value of creativity in art, science, technology and political activity is immense. Trying to meet these expectations, scientists continue to try to deepen their understanding of the nature of creativity and giftedness. The growing scientific interest in the study of this construct has contributed to the search for reliable instruments for its measurement. However, analysis of the literature suggests that measuring creativity has proven to be challenging. Much of the ambiguity associated with measuring creativity is due to a lack of consensus among researchers on its definition. This article explores the various definitions of creativity and provides an overview of four approaches to measuring creativity that are currently prevalent. The analysis of tests of creativity within each of the four approaches allows one to see the advantages and disadvantages of the main methods of diagnosing creativity, as well as to make a decision on their use. Likewise, the described 4R approaches can direct the researcher's attention to further explore how to improve creativity in different aspects. Thus, the overview of approaches and tests presented in this article can provide valuable information and serve as a starting point for further steps to more accurately measure this construct.