Open innovation (OI) is an approach which describes a purposive attempt to draw together knowledge from different contributors to develop and exploit innovation. It has become clear that OI directly benefits organisations' economic performance and resilience, but researchers, practitioners, and policy makers became also convinced that OI might be the way forward to tackle the world’s most pressing societal challenges, representing unresolved Grand Challenges, which can only be weathered by diverse sets of collaborative partners that join forces. Although anecdotal evidence points at how OI practices can be employed to achieve societal impact not only in private firms but also in public organisations, very little understanding exists -beyond anecdotal- to link OI to societal impact. This special issue has the ambition to start the discussion and establish a framework as the stepping stone to tackle this complex research gap.