The possibility of applying the Bredig rule to determine the temperature of the superionic transition in stoichiometric actinide nanooxides is considered. The comparison of the nanothermodynamic approach with calculations by the method of molecular dynamics is carried out. It is shown that both the morphology and the characteristic size of nanoobjects of actinide dioxides significantly affect the temperature of the superionic transition: the temperature of the superionic transition at a fixed value of the characteristic size of nanoobjects increases in the sequence spherical nanoparticles-nanowires-thin films and decreases with decreasing characteristic size. The possibility of controlling the temperature of the superionic transition in nanoobjects of actinide dioxides is discussed. Keywords: Nanoparticles of actinide dioxides, nanowires of actinide dioxides, thin films of actinide dioxides, Bredig rule, superionic transition, Lindemann criterion.