The work of theologian Rudolf Bultmann is often judged without due consideration of the historical and personal circumstances in which it occurred. It is forgotten that theology is always carried out in a specific context. Thus, this article aims to do justice to this theologian by recognizing the relevance of his hermeneutical method. It will be demonstrated that demythologization is a powerful exegetical-apologetic operation, because, at the same time that it points to the mythological layer that covers the text of the New Testament, it emancipates it from myth. The next step will be to show that by recognizing a mythological envelope covering the text of the New Testament, Bultmann intended to prove that the mythological vision itself had a fundamentally existential purpose. This is because mythological language does not present an objective image of the world as it is; on the contrary, it seeks to communicate the understanding that man has of himself in the world in which he lives. Therefore, the myth should be interpreted not cosmologically, but anthropologically, or better still, existentially. It is, therefore, from this perspective that Bultmann seeks to highlight the relevance of the message of the New Testament.