Extrapolating the network approach to the socio-political process as a whole, the article analyzes the phenomenon of connection of network space and political reality, characterized by the mutual influence and interdependence of the phenomena occurring in both areas. There are four main interfaces (public space, institutional outputs, direct action, radical action) of interaction between the network space and the political system. The author substantiates the significance of the phenomenon of connection as a determinant of the modern political process, identifies the main indicators of connection, anticipating significant changes in the political landscape. In conclusion, the author points out both the risks of connection, new challenges for today’s political institutions, and the emergence of new windows of opportunities for the modernization of socio-political institutions. Nine political designs are modeled based on conjugation connection.