The data is analyzed in the article about structural and neurochemical brain hemispheric asymmetry, which, together with results of neuropsychological investigations, allow considering in a new way the problem of realization of psychic events. Modern investigations of cellar and molecular processes in neural system show, that the endogenous neural activity and the ways of neural self-organization are in many respects defined by the composition of extracellar environment. The complication of brain during phylogenies was accompanied by increasing asymmetry of neural system at the same time the biological prerequisites for differentiation of general “meanings” and one’s personal “sense” of the acquired experience were forming. The asymmetric mediation of psychic events by cellar and neurohumoral components of brain processing provided the opportunity for appearing language and distinct subjective experiences in human.