In recent years, researchers' attention is drawn not only to the development of an increasing number of different elements of nanoelectronics based on polymer films, but also to the study of electrical properties and the carrier transport mechanisms in these films. This article describes the features of charge transport, including the phenomena at the interface between the polymer and the metal electrode, and in the bulk of the polymer film. The transfer of charge carriers in the polymer layers are mainly determined by the process of hopping between localized molecular states. The simplest form of the hopping conductivity is realized in the transitions between the nearest neighboring centers. The features of the hopping conductivity with a variable hopping and hopping transport in centers with a Gaussian distribution of energy levels were analyzed. The model of polarons and the dependence of the mobility of polarons on the temperature and field were reviewed. It was shown, that, the field dependence of the Poole-Frenkel has a place for both pure charge transfer and the polaron transfer. To describe the charge transport across the border between the polymer and the electrode in sufficiently strong electric fields the models of Fowler-Nordheim tunneling and Richardson-Schottky thermionic emission were used.