The stratification of societies in the modern world system of societies is essential; however, it is not developed substantially. Therefore, with the aim to elaborate a coherent system of aspects, criteria, and measurements of stratification of modern societies, the author applies theoretical decomposition of the aspects of intersocietal stratification into criteria, develops its measurements, and argues the relevance of interpreting them as stratifying ones. As a result, ten aspects and twenty-five criteria with the respective measurements of stratification are discriminated.