Some special features inherent in emergent network society are considered in the context of the advancement of geographical sciences. New topics of geographical research into the network economy and social and political networks are formulated. An analysis is made of experience in the geographical study of socio-economic networks. The starting principles of the new, network, paradigm of social geography are suggested. Some promising directions of geographical study of information networks are defined.Keywords: information network, network economy, social network, political network, network paradigm of geography, regionalization, forecasting.