Abstract I will attempt to define what we understand as “narrative argumentation” or “narrative arguments” through an appeal to a discussion of intercultural rational theology. In this context I offer a distinction between two concepts, which are considered usually as synonymous. Philosophical theology is regarded from the historical point of view as the whole repertoire of attempts at rational justification of the faith in God along with analysis of His attributes and actions within different religious traditions (both ancient and modern, Western and Eastern), whereas Natural Theology is regarded as a philosophical preparation for the theology of Revelation in traditional Christianity. Varieties of the teleological argument, which have been developed in the history of thought as the argument from analogy, i.e., from vivid examples aiming at persuasion of an opponent and audience in the dialectical controversy, are classified into two species of short-cut illustrative examples and the species of full-fledged theological parables, i.e., narratives in the strict sense. I conclude this discussion with an invitation to investigate other main theological arguments from a similar point of view.