The article compares Hegelian and Nietzschean versions of the philosophy of becoming in the perspective of European thought movement from classical to non-classical paradigm. The idea of becoming is treated as the point of contact and, at the same time, repulsion of philosophical constructions of two German philosophers. Evaluations of Hegel's historicism are seen as an important moment in Nietzsche's philosophical self-definition. The New European metaphysics of subjectivity is presented as the common conceptual basis of both versions. It is shown that in both Hegel and Nietzsche becoming is identical with the activity of transcendental subjectivity which is interpreted as reflection or "conversion of consciousness" in the former case and as interpretation in the latter. In both versions becoming as understood in this way turns out to be volition: Hegel's is the realization of the absolute's will to self-revelation and absolute knowledge while Nietzsche's is the realization of the wholly immanent will to power. It is stated that both Hegel's and Nietzsche's treatment of being as becoming generates the problem of human self-consciousness and selfdetermination, which is inseparably linked with the problem of time-eternity relation. Both versions of the philosophy of becoming contain the possibilities for the further movement of thought in nonclassical philosophy. One of them is the search for being, a new transcendence in the philosophy of the 20th century, initiated by Heidegger; the other is the final separation of becoming from being, immanence from transcendence and the "triumph" of transcendental subjectivity in the deconstructivism of postmodern philosophy.