Scientific, objective approach to consciousness has allowed to obtain some experimental data concerning brain activity, ignoring, however, the long-standing philosophical tradition. Spectacular development of neuroscience which has been observed recently made this dissonance particularly noticeable. The paper addresses the main problems of discrepancy between neurobiological research and philosophical perspective. Current opinions concerning neural correlates and models of consciousness are discussed, as well as the problems of working memory, attention, self, and disorders of consciousness. A new neurobiological approach to describe brain function in terms of brain connectivity (so-called connectome) is also presented. Finally, the need to introduce at least some aspects of philosophical approach directly into neurobiological research of consciousness is postulated.