We consider scientific integrity to constitute a new theory of morality of science, in a very specific deontological sense. Indeed, at least in practice, scientific integrity extends beyond scientific concerns, seeking to develop specific moral duties and/or procedures based on general moral values and/or standards, leading to common moral frameworks for usual scientific practices. This is, of course, necessary. Contemporary history has shown us only too well that usual scientific practices need common moral frameworks, especially in medicine and biology. However, like scientific practices, and medical and biological practices in particular, the persistence of certain moral values and/or standards and the priority attributed to them, can change significantly, due to changes in society, people, the times and/or environments, and they may be under strong tension. We therefore believe that a new theory of ethics of science, in a very specific teleological sense, may be required in this case, particularly in medicine and biology, in addition to scientific integrity. This ethical theory, through research, professionals and structures in ethics of science— also called medical ethics, research ethics or bioethics in the fields of medicine and biology—, should seek to identify and find specific ethical solutions to these tensions, applicable at a particular place and time, based on common ethical purposes and/or consequences. As a result, these specific ethical solutions may, or may not, lead to an evolution of common moral frameworks, which may, or may not, be developed on the basis of scientific integrity. In the fields of medicine and biology, this ethical theory is closely related to another theory, global bioethics, but with a number of new conceptual and methodological developments.