Imaging with X-ray and particles provides a powerful tool to explore the internal structure of matter, which plays an important role in the development of physics, materials science, life science and other fields. Different from traditional imaging methods, ghost imaging exploits the characteristics of high-order correlation of optical fields to obtain sample information, which has its unique advantages. Lots of achievements have been made in the field of visible light ghost imaging. In recent years, with the development of ghost imaging technology, X-ray and particle ghost imaging has become a frontier research field. This paper summarizes X-ray correlation imaging methods based on thermal source, pseudothermal source and entangled light source, and the research progress of correlation imaging technology in the regime of atomic, neutron, and electron imaging. The future development of X-ray and particle ghost imaging technology and some problems that need to be solved in application are discussed.