The aim of this review is to connect the phenomenology of consciousness to its neurobiology. A survey of the recent literature revealed the following points. (1) Comprehensive descriptions of consciousness, of its subjective as well as of its objective aspects, are both possible and necessary for its scientific study. An intentionality-modeling structure (an unified and stable ego refers to objects or to itself in the framework of a stable, reproducible, predictable world) accounts for the main features. (2) The material basis of consciousness can be clarified without recourse to new properties of matter or to quantum physics. Current neurobiology appears to be able to handle the problem. In fact, the neurobiology of consciousness is already in progress, and has achieved substantial results. At the system level, its main sources of data are: the neurophysiology of sleep-wakefulness, brain imaging of mental representations, attention and working memory, the neuropsychology of frontal syndrome, and awareness-unawareness dissociations in global amnesia and different forms of agnosia. At an intermediate level of organization, the mechanisms of consciousness may be the formation of a certain kind of neural assembly. (3) Further research may focus on neuropsychology and neurophysiology of object perception and recognition as a natural model of intentionality, perception of time, body schema, interhemispheric communications, 'voluntary' acts and mental images. The synthetic and dynamic views provided by brain imaging may be decisive for discovering the neural correlates of the integrative aspects of consciousness. (4) The neurobiological approach may, beyond the finding of cellular and molecular mechanisms, improve the general concepts of consciousness, overcome their antinomies and, against epiphenomenalism, definitely establish the reality of consciousness.