The research culture of research institutions is increasingly recognized as an central driver of research integrity and institutions are urged to develop research integrity promotion plans to foster a culture of research integrity. A host of guidelines and associated initiatives have been issued, but what is generally lacking is specific, actionable recommendations for institutions. Based on a broad literature review, in the current paper some practical advice for institutions is suggested, grouped into 1) policies, procedures and processes, 2) dealing with breaches of research integrity, and 3) education and training. From the review, it is clear that more research is necessary to gather additional knowledge on what works and what doesn’t work, knowledge that is ideally shared openly. This will allow institutions to learn from one another, facilitate harmonization of policies, and may possibly create a virtuous cycle that empowers the shift towards a culture of collective openness in science.