The article is devoted to the consideration of preconditions and initial attitudes of the general theory of myth created within non-classical mythology where the myth, in addition to tales about gods and heroes, is considered as the basic universal of culture creating areas of meanings. The myth is understood as an ontological property of conscience that develops abilities of a person. In the 20th century, science and society have grown to understand the myth in its modern interpretation. To adequately understand the myth, modern researchers of different specializations need to combine their efforts, in order to create the general theory of myth (GTM). The purpose of the article is to consider main preconditions for emergence of the GTM based on the universal (phenomenological or transcendental) approach to myth and myth-making. The authors analyze three main groups of preconditions for the creation of the general theory of myth: historical, theoretical and organizational. The first group is associated with the development of society which, while moving to the digital era, actualizes the interest in the myth. The second group relies on achievements of non-classical rationality which significantly facilitate the understanding of the myth and its social and cultural mission. The third group covers problems of organizing myth researchers into a network community integrated around specific conferences and journals. All together create the preconditions for systemic integration of myth ontology studies as a culture basic universal, which will allow creating the general theory of myth.