To ensure the widest possible dissemination of research results to the academic community, pharmaceutical industry, patients and to the broader public, the EU-funded drug repurposing project REPO4EU is committed to an Open Science approach. Because Open Science can be interpreted widely, this document lays out the strategy of the project with regard to Open Access publishing, alternative metrics, intellectual property and FAIR data, in line with the goals of the European Commission. The Open Science Strategy forms the theoretical framework for the REPO4EU Open Science publishing portal that will develop into an open hub of research results and communication for the entire drug repurposing community.