Main features of reactions of variable-valence cations Mn+ [Mn+ = Ag(I), Ru(IV), Ce(III), TI(I), Np(IV, V), Pu(IV)] with ozone in nitric acid solutions were studied. The kinetic parameters of reaction of Np(IV) and Pu(IV) with O-3 in a wide range of reaction conditions were determined. The mechanism of intraspheric oxidation involving formation of outerspheric complex of the ion being oxidized with ozone (Mn+ <--OH2... O-3) with subsequent substitution of intraspheric water molecule with ozone or detachment of the hydrogen atom from the hydrate water molecule to form Mn+<--OH and HO3 was proposed. Plutonium(IV) is most likely to be oxidized with ozone via formation of Pu4+<--O-3 complex. Ag(I), Ce(III), and Co(II) were chosen as catalysts of dissolution of PuO2 by its oxidation with ozone.