Climate change is a pressing issue that has a negative impact on the planet but also on public health. The healthcare sector contributes to environmental pollution, while it aims to improve health. Therefore, its environmental sustainability should be improved. This study focuses on the governance of sustainability in hospitals, since hospitals are the largest operational units in the healthcare system and can therefore make a large impact. To successfully implement and embed sustainable development through the hospital, the right governance approach is needed. This systematic literature review aims to give an overview of governance related factors that influence the implementation of sustainable development in hospitals in Europe. Following PRISMA guidelines, 2426 papers were identified and screened of which 30 were included in the analysis. In these papers, four governance related factors were identified to be important for the implementation of sustainable development in the hospital: knowledge, involvement from management, commitment from healthcare professionals, and technology use. These factors currently mostly form barriers in the implementation process. Future research is recommended on how to practically deploy these factors as facilitators for implementation. Since both involvement from management and commitment from healthcare professionals are crucial factors, further research should look into combining the input of these stakeholders in policy development.