Chairing the Council of the European Union underlines the importance of the state in integrated Europe. However, the recent amendments to the Treaty have given rise to significant changes in the functioning of this institution. Our understanding of this concept as well as of its functions and methods has changed. This is particularly important for Poland, which in July 2011 will take over the half year presidency. The new conditions of operation pose both opportunities and challenges. This article presents the model of the Presidency and its role both before the Treaty of Lisbon and immediately after it. It also discusses the ability of countries holding presidency, especially Poland, to handle these changes. The author examines the conditions, strengths and weaknesses of Poland with respect to exercising this function.