The main trends in the field of immobilization of radioactive waste with the use of new effective and environmentally safe technologies for their maintenance, storage are analyzed. The current situation in the technology of immobilization of radioactive waste using the method of introduction into glass matrices is defined. The basic mechanisms of immobilization of radionuclides in glass are considered and the destructive processes that take place in glass under the influence of radioactive radiation are described. The main types of matrices of silicate materials and glass ceramics of industrial use are described. Methods for assessing the chemical stability of glass-crystalline materials with immobilized radioactive particles are given. The advantages of using glass as a medium for storing radionuclides are highlighted. The criteria used for the selection of highly durable nano-structured glass-crystalline materials for the immobilization of radioactive particles are determined. The importance of the development of the latest types of glass-crystalline materials for the immobilization of radioactive waste for the nuclear power industry of Ukraine in the conditions of the current crisis situation associated with hostilities has been established. The perspective of using for this purpose aluminosilicate glass-crystalline materials with increased physical and chemical properties for the development of highly durable glass matrices, which are operated in conditions of ionizing radiation, is shown.