In this paper, the concept of political culture is considered in reference to the notions of G.A. Almond, S. Verba and J. Rawls. It is defined as a specific educational project, which is linked to the idea of a fair, democratic and constitutional system. The author also points to potential contemporary obstacles to implementation of this project. Deepening inequalities arising from personal culture are the first threat to liberal civic education. The second threat is associated with the development of new media and the related changes in the public sphere, including various forms of political and civic activity.