To address the severe challenges of climate change, the concept of geoengineering has been proposed internationally by scientists. Exploring the possibility of changing the climate system through ultra-conventional large-scale engineering techniques is a new research hotspot in the field of climate change. Geoengineering is a general term for many complex technical solutions, which and is mainly divided into two categories: solar radiation management (SRM) and carbon removal (CDR) according to different mechanisms. Geoengineering also brings new risks while lowering the average temperature of the earth, which causes difficulties in global governance. In the face of unknown fields that affect the common interests of mankind, countries have launched relevant research projects and carried out multi-field scientific assessments. Some CDR projects have already begun commercial demonstrations, and the practice of global governance of geoengineering has also begun. The globality and externality of the impact of geoengineering determine that its governance requires global joint efforts. The complexity, broadness and uncertainty of its comprehensive impact determine that its governance is a cross-domain, multi-platform, multi-agent, and multi-level governance system. Its special economic attributes make global governance face many difficulties and challenges such as supply mode, dilemma, moral hazard, regional and intergenerational fairness, and so on. The global governance framework of geoengineering needs to clarify the basic elements such as principles, objects, goals, subjects, platforms, systems and mechanisms. lt is necessary to establish a multi-platform collaborative governance mechanism under the framework of the United Nations on the basis of existing mechanisms, to promote the political process with scientific consensus, and to grasp the key time points nodes. Facing the issue of geoengineering, China should follow the concept of sustainable development and ecological civilization, correctly understand its risk characteristics, scientifically incorporate it into the framework for addressing climate change, adhere to a multilateralism position, participate deeply in the global governance of geoengineering, and strive to protect a Community of Shared Future for Mankind. [ABSTRACT FROM AUTHOR]