Digital platforms such as Google, Facebook, Twitter, Amazon, and a more recent entrant, Zoom, have provided core societal functions that have enabled us to work, shop, educate ourselves and our children, run businesses, maintain social contact, and receive and disseminate information. At the same time, the uses of these technologies have led to elevated concerns in areas such as surveillance, cyber risks, democracy, public health, competition and monopoly power, and economic prosperity. Current governance arrangements are incoherent and fragmented nationally and internationally—where they even exist. At the same time, they typically reflect vested state and corporate interests that can be very difficult to challenge. The way forward is to create a new institution for the digital realm: a Digital Stability Board (DSB) that would be a multi-stakeholder forum with a remit to create global governance for big data, AI, and the digital platforms, while allowing national variation to reflect different values and cultures while avoiding a race to the bottom in governance. Taking concerted and coordinated action on global governance under a structure such as a DSB will help to ensure that the benefits of the platforms are magnified, and the risks minimized individually and globally.