It is one of the important development directions of future 6G communication to meet the extreme communication needs of users in the global vertical industry,cooperate with the terrestrial mobile communication network and the rapidly developing non-terrestrial network (NTN),and break the traditional rigid service mode of "doing your best" to provide users with global deterministic services.First,this paper summarizes the future space-air-ground integrated network architecture and the deterministic service connotation and scenario requirements under this architecture.In addition,it proposes a global network-oriented deterministic service management and a control technology framework.Then,it analyzes the three major challenges faced in the process of global deterministic service,including the difficulty in ensuring the business awareness of users in the global whole scene,orchestrating the end-to-end slicing network space-air-ground integration,and quickly coordinating and scheduling the global multidimensional resources in the slicing subnet.In response to the above challenges,three solutions are introduced respectively,namely,intelligent cloud-based full-domain,full-scene service sensing technology,satellite earth end-to-end intelligent slicing orchestration based on network topology prediction,and data and model-driven satellite earth resource intelligent allocation technology,which provide a reference for the development of space-air-ground integrated network extreme service technology.