A total of 100 groundwater samples were collected from the Nonsan area and the behaviors of uranium and radon as natural radionuclides were investigated with respect to other physicochemical components in the groundwater in order to understand their occurrence, properties, and origins. Radionuclide levels were used to construct detailed concentration maps. The concentration of uranium ranges from 0 to 378 ${mu}g/L$, with an average of 8.57 ${mu}g/L$, standard deviation of 42.88 ${mu}g/L$, and median of 0.56 ${mu}g/L$. The correlation coefficient between uranium and radon is 0.42, whereas these radionuclides show no relation with other physicochemical components in groundwater. It is noteworthy that the uranium level in most samples (97% of the samples) is less than 30 ${mu}g/L$, where the bedrock of the aquifer is granite or complex rocks located along the boundary between granite and metamorphic rocks. In the Okcheon metamorphic belt, the uranium concentration of most groundwater is less than 1 ${mu}g/L$. Radon levels varies from 128 to 9,140 pCi/L, with an average of 2,186 pCi/L, standard deviation of 1,725 pCi/L, and median of 1,805 pCi/L. High radon levels (> 4,000 pCi/L) are most common in regions of Jurassic granite, whereas low radon areas are found in regions of sedimentary rock. In conclusion, the distribution and occurrence of radionuclides are intimately related to the basic geological characteristics of the rocks in which the radiogenic minerals are primarily contained.