The paper deals with approaches to religion within modern evolutionary psychology. In particular, the paper examines E. Wilson's sociobiology, P. Richardson's and R. Boyd's concept of culture as «co-evolution», and R. Dawkins' theories of memes and of religion as an «evolutionary by-product». Evolutionary psychology suffers from a few considerable and so far unsolved conceptual problems: the discussion of group selection; the issues of inherited and culturally depended components of religiosity; the question of «religious genes»; the theory of religion as «evolutionary by-product» etc. Among the main evident difficulties is the lack of its empirical verification. Nevertheless, evolutionary psychological approaches help to address classical issues of religious studies with new fresh perspectives.