The accident at the Chernobyl nuclear power plant confirmed the fact that the process of restraining of sometimes non-peaceful atom has not stopped up to this day. Nuclear power and uranium mining industries are inevitably accompanied by solid and liquid radioactive wastes. The liquid radioactive waste is particularly hazardous for humans, therefore, new scientific knowledge and modern technologies of waste management, neutralization and disposal in view of the unique experience of the ChNPP accident are relevant for all operating nuclear power plants and industries of the nuclear cycle in all countries of the world, including Ukraine.