Although the best-known use of blockchain technology (BCT) is in the field of economics and cryptocurrencies in general, its usefulness is extending to other fields, including the biomedical field. The purpose of this article is to clarify the role that BCT can play in the field of medicine. We have performed a narrative review of the literature on BCT in general and on medicine in particular. The great advantage of BCT in the health arena is that it allows development of a stable and secure data set with which users can interact through transactions of various types. This environment allows the entry and operation of clinical data without compromising other sensitive data. Another important advantage of BCT is that the entire network is decentralized and is maintained by the users themselves; thus, there is no need to rely on organizations for storage. The Blockchain code is open source and can be used, modified and revised by its users. BCT literature is scarce so far. This article describes the basics of this technology and summarizes the various aspects in which BCT could change the paradigm of current medicine. The great potential of BCT, as well as its many applications in the field of health sciences, encompasses the fields of legal medicine, research, electronic medical records, medical data analysis (big data), teaching and the regulation of payment for medical services. If technological advances continue along these lines, it could bring about a revolution in medicine as we know it.