Discipline domain is a system consisting of interrelated, interdependent and mutually supportive disciplines. Social sciences involve not only humanities social science but also sciences, engineering, and medical sciences and so on. The research analyzes the 10 institutions' discipline domain of social sciences by discipline classification provided by Web of Science database and the Ministry of Education in China. It finds that, firstly, the top five supporting disciplines of the general theory of social sciences are public health and preventive medicine, computer science and technology, environmental science and engineering, sociology and geography; secondly, in comprehensive universities, the discipline field of "social science general theory" contains more humanities and social sciences disciplines, on the contrary, in science and engineering universities, the supporting disciplines of "social science general theory" discipline field are mainly science, engineering and medicine. Thirdly, cross-discipline plays an important role in the development of supporting disciplines of social science general theory. Therefore, it is of great value for the "Double First-Class" construction in Chinese universities to optimize the structure of social science disciplines and to create the peak of the disciplines, to promote the integration of arts and science and to realize the complementary development of disciplines, and to construct the evaluation system and standards of social science with Chinese characteristics.