This paper addresses the application of the ethical concept of trust and the legal and political concept of public trust to population genomics projects in Iceland, Estonia, and Tonga. Focusing on trust and public trust, the paper explores analogies between the genomics projects and the treatment of other common-pool resources, making use of the notion of trust as an ethical demand, derived from the works of Emmanuel Levinas and Knud Eljer Løgstrup. The paper discusses the degree to which the ethical demands for trust and public trust have been established and maintained in the three national population genomics projects.