Supporting seamless global coverage, satellite Internet is an important expansion and extension of terrestrial communication systems, plays a key role in the space–air–ground integrated network, and acts as an important information infrastructure for building China's strength in cyberspace. Developing satellite Internet is of great strategic significance, and corresponding research on its resource management and scheduling is urgently needed. This study illustrates the fundamental concepts and international development frontiers of satellite Internet as well as the basic elements and research progress of satellite Internet resource management and scheduling, identifies the challenges imposed by the new environment and new modes of satellite Internet, and proposes the development strategies. Moreover, it designs a technical route for satellite Internet resource management, including the primary stages of satellite – ground network interconnection, integration of heterogeneous resources, intelligent on-demand service, and native intelligence. In addition, this study proposes the model and architecture of satellite Internet resource management and scheduling, and constructs a key technical system involving high spatio-temporal dynamic resource characterization, multi-dimensional resource time-continuum deterministic analysis, multi-dimensional time-varying capacity pool indexing, and intelligent decision planning. To realize the intelligent and efficient management and scheduling of satellite Internet resources, we should focus on the network characteristics such as resource heterogeneity, dynamic change of network structure, and differentiated service requirements, implement satellite Internet resource management and scheduling according to the optimized technical route, achieve breakthroughs regarding corresponding key technologies, and integrate artificial intelligence technologies into the resource management and scheduling.