The study deals with the mechanism of organism's adaptive responses to the effect of radiation in widely ranging dose. Post-irradiation metabolic changes were evaluated in canine blood as well as in murine blood, spleen, bone marrow and liver using the EPR spectroscopy. It was shown that the dynamics of changes in transferrin and ceruloplasmin pools and ribonucleotide reductase activity were phase-dependent with the maxima at the 2nd, 6th and 10-12th days after irradiation. Such dynamics was observed at various irradiation doses applied. The data allow us to suggest that the nonspecific compensatory--adaptive reactions of organisms develop as the response to irradiation. The dose-response function of the reaction intensity was found to be linear. The shape of the dose-response curve indicates that the minimum response of organism depends on the dose linearly up to 3.2 Gy (for dogs) as well as the maximum one. However, in the case of low-dose irradiation (0.25 or 0.5 Gy) there were deviations of maximum responses from the linearity, i.e. the amplification of the amplitude of compensatory adaptive reactions. These effect were shown to be dependent upon initial individual characteristics of animal blood and to be related to the "depressed" or "activated" state of organism prior to irradiation. The ribonucleotide reductase activity was measured in bone marrow and spleen of animals by the EPR method. The nature of non-repairable DNA damage is discussed in view of the inactivation of ribonucleotide reductase.