Nuclear radiation detection refers to the process of using various nuclear radiation detectors to obtain nuclear radiation information, which has a wide range of applications in the fields of military, civil and scientific research. As the core of nuclear radiation detection, nuclear radiation detectors are mainly divided into gas detectors, scintillator detectors and semiconductor detectors. Compared with gas detectors, both scintillator detectors and semiconductor detectors need crystals as core materials, and the quality of crystals largely determines the upper limit of detector performance. In order to obtain detectors with better performance, a large number of growth explorations have been carried out on single crystals. This paper reviews the latest research progress of single crystals for nuclear radiation detection in recent years, summarizes the current mainstream growth methods， including solution method, melt method and gas phase method, and the main growth methods of different single crystals for nuclear radiation detection are generalized.