A study was conducted to evaluate the biochemical and cytogenetic parameters in peripheral blood lymphocytes in participants in the Chernobyl accident liquidation who were exposed to external and internal radiation in the dose range (0.1–70 cSv) and children living in territories with different levels of radionuclide contamination (1–20 Ci/km2) as a result of the Chernobyl accident. The effects of low-intensity radiation were studied in a comparative analysis of the relationship between the chromatid break index, the rate of mutagenesis in somatic cells (lymphocytes), and the level of reduced glutathione in blood plasma. The increased frequency of chromatid breaks in lymphocytes and an increased level of reduced glutathione in the blood plasma in children and liquidators exposed to low doses of radiation (0.1–20 cSv) were found to be statistically significant compared to the control. As the radiation dose increased (20–70 cSv), the increase in cytogenetic abnormalities in the peripheral blood lymphocytes of liquidators and children from Chechersk (Gomelsk oblast, Belarus) was accompanied by a decrease in the water-soluble antioxidant level in the plasma. The data on the relationship of the reduced glutathione level with the major indices of the cytogenetic status are important for identification of later pathological health-related conditions in people exposed to chronic ionizing radiation.