Using journal articles from WOS and CNKI, the development of gravity models at home and abroad and recent research hotspots are quantified and analyzed with the help of "CiteSpace". The study then reviews the mainstream research on multilateral resistance and zero value problems, the selection of distance variables and social network analysis, and briefly discusses the biases in the application of gravity models in international trade, international investment, and social space in China. It is found that: (1) The research themes of gravity models at home and abroad are relatively concentrated, with a clear common knowledge base, and a series of cross-country economic studies formed mainly on international trade, foreign direct investment, and population movement. (2) In recent years, the hotspots of international research on the application of gravity models are focused on climate issues, innovation, global value chains, and spatial integration, while domestic research focuses on "One Belt, One Road", Sino-US trade, Yangtze River Economic Belt and Guangdong-Hong Kong-Macao Greater Bay Area in the context of domestic market integration, international regional collaboration, and Sino-US trade friction.(3) Combined with keyword co-occurrence, emergence, and temporal trends of keywords and the traditional literature analysis method, it can be seen that the research on domestic gravitational models is mainly applied and significantly lags behind international research, and lacks basic theoretical exploration on multilateral resistance, zero value problem, generalized distance, and gravitational value calculation.