Responsible research includes, beyond ethics in the content and process, engagement of multiple actors and the public, access to scientific results, gender perspective, and scientific education. The RRI (Responsible Research and Innovation) movement aims to create a society where research and innovation practices are oriented towards achieving sustainable, ethically acceptable and socially desirable results related to the values, needs and expectations of society. Research in communication, and specifically in audiences and reception, does not escape this trend. In this new conception, a step forward with respect to ethics is taken and the responsibility is attributed not only to the researcher but also to the concept of co-responsibility. In short, with the initial impulse of the European Commission, an inclusive and sustainable research is advocated. This article intends, on the one hand, to present a brief review of the evolution and actuality of audience and reception studies from the perspective of the epistemological ruptures experienced and the different challenges it faces (conceptual, methodological and ethical) and, on the other hand, to understand the origin, evolution and trends of the concept of RRI and, finally, to see how it can be applied to the study of the audience and reception. The article has the vocation to become a text that can help researchers in this field to reflect on how to incorporate the RRI into their work.