Molten salt oxidation (MSO) is a technology using the flame-free oxidation in molten salts materials in order to reduce the volume of hazardous solid and liquid wastes. MSO allows the processing of the loose materials, semiliquid suspensions, or liquids over a wide range of viscosity. Combustible wastes are fed through the dosing system into the reactor together with air or oxygen. During the oxidation process, which is deliberately under the melt level, heavy metals and radionuclides are captured. This paper deals with the process of combustion of an ion exchange resin containing stable Cs, Co, and Sr isotopes with the temperature set to 880 °C. The oxidation time was 90 min. The research phase focuses on the capture and dissipation of these isotopes in MSO technology.