The concept of the early state introduced by Henri J. M. Claessen and Peter Skalník appears to have been the last among the great epoch-making political-anthropological theories of the 60s and 70s of the last century, which did more than just giving a new consideration of socio-political evolution, its stages and models. Thus there was formed exactly an evolutionary sequence of statehood in the form of a two-stage scheme: the early state – the mature state. And that explained a lot in the mechanisms and directions of the political evolution. However, the former of these two stages of the evolution of statehood (the early state) has been studied rather thoroughly, whereas the latter (the mature state) has not become the subject of a similarly close examination. Unfortunately, the analysis of the mature state has been little advanced in those several contributions to the subsequent volumes of the Early State project (further referred to as Project) where the subject was touched upon. In the present paper after a brief analysis of the Project participants' views on the mature state I will present my own approach to the distinction of the stages of the evolution of statehood which to my mind develops and supplements Claessen – Skalník's ideas on the subject. However, this has made it necessary to suggest new formulations of the main characteristics of each stage of the evolution of the state