The results of experimental research of diploid yeasts cells survival after simultaneous action of hyperthermia and ionizing radiation (60Co) have been described. It was shown that the cell ability to liquid holding recovery decreased with an increase in the temperature, at which the exposure was carried out. due to the increase in the irreversible component determining the relative part of radiation damage which cells are incapable to recover. To predict theoretically the relative part of irreversible radiation damage after combined action, the mathematical model was suggested taking into account the synergistic interaction of agents. Good correlation between experimental results and model prediction was demonstrated. The importance of the results obtained for the interpretation of the mechanism of synergistic interaction of various factors is discussed.