The paper considers diverse approaches to human subjectivity conceptualization. On the one hand, a summary is made of an established psychological view of personality as an intrinsic psychological entity responsible for stylistic differences in the behavior of isolated individuals, founded on the traditional Cartesian view. On the other hand more recent views are presented, which take human subjectivity as personhood i.e. responsible action of moral subjects, placed within amongst-people space, and implying allied activity of persons in a social community. In addition, consideration is given to new methodological demands for psychologists who want to research the domain of human personhood as well as to deviations of a "new paradigm" of psychological investigations from scientific tradition in viewing methods that has prevailed in psychology until recently. Clarification of demands for studying personhood is a new trend in psychology, so it should be stressed that such orientation, despite its long-lasting past, virtually has a very short history.