What is privacy? What does privacy mean in relation to biobanking, in what way do the participants have an interest in privacy, (why) is there a right to privacy, and how should the privacy issue be regulated when it comes to biobank research? A relational view of privacy is argued for in this article, which takes as its basis a general discussion of several concepts of privacy and attempts at grounding privacy rights. In promoting and protecting the rights that participants in biobank research might have to privacy, it is argued that their interests should be related to the specific context of the provision and reception of health care that participation in biobank research is connected with. Rather than just granting participants an exclusive right to or ownership of their health information, which must be waived in order to make biobank research possible, the privacy aspect of health information should be viewed in light of the moral rights and duties that accompany any involvement in a research based system of health services.