The destiny of mankind is closely intertwined, and exploring new paths for the governance of the global commons of the earth’s surface (GCES) has become a worldwide topic. Thus, this paper attempts to carry out the following work by taking the Antarctic as an example: (1) Identify the characteristics of the governance subjects by using a literature review and the inductive analysis method. (2) Construct a network of responsive relationships among the governance subjects based on the evolutionary game approach. This study found the following: (1) A multi-subject participation in governance, i.e., with the Antarctic Treaty parties as the core, the seven major organizations as the main force, the United Nations as the support, enterprises as the emerging force, and other countries as the potential subjects. (2) Response-relational networks have high clustering coefficients and characteristic path lengths close to those of random networks, with significant small-world features of relational networks. (3) As important components of the benefit function, long-term benefits and benefit intensities together influence cooperative strategies for governance in the Antarctic. In the future, we should actively focus on long-term interests based on the concept of a community with a shared future for mankind, improve the governance structure at the right time, and strive to build a robust globalization.