Spatial planning has become an important measure for countries and regions to promote sustainable development. However, there remains a lack of systematic and quantitative research on spatial planning worldwide. In this study, CiteSpace was used to perform bibliometric analysis and visualization research on the Web of Science core collection and China National Knowledge Infrastructure database. It was found that: (1) The number of papers published in global spatial planning research shows an increasing trend, especially after 2018, with China showing an obvious increasing trend. (2) Globally, the United States has the largest number of relevant research results, and Italy has the most cooperation with other countries. The highest research output is from developed countries, while that of developing countries is relatively weak. (3) There is some intersection among countries, disciplines, and authors but it is not strong, indicating that cooperation should be strengthened. (4) Through keyword cluster, timeline, and time zone analysis, global development can be roughly divided into three stages: the first stage is characterized by the study of spatial planning system theory, the second stage is characterized by building green infrastructure and providing ecological services, and the third stage is characterized by an emphasis on public participation and the establishment of justice mechanisms. China’s development corresponds to three stages: the theory and experience learning stage, the spatial planning system focused on economic development stage, and the integration of multiple plans and the sustainable development exploration stage. (5) There are differences in burst words between the world and China, indicating that there are great differences in research hotspots in different countries’ periods and conditions.