In this study, 20 sites were modeled for the purpose samples of studying the activity concentrations of naturally occurring 40K, 238U, and 232Th radionuclides and its effect on the population of the selected areas within the study area. The probability cancer risk is the main objective of the study absorbed gamma dose rate (DR), annual effective dose, gamma annual gonadal dose (AGDE). The activity concentration 238U, 232Th and 40K radionuclides are within the ranges 0.19±0.07Bqkg-1 to 30.52±0.91Bqkg-1, 0.34±0.03 Bqkg-1 to 32.45±0.83Bqkg-1, and 374±3.69 Bqkg-1 to 211±2.77Bq/kg respectively in the area of study. The correlations between both the probability of cancer with 238U equal to (0.3724) it means that the relationship of Uranium to cancer is weak but with 232Th and 40K, annual effective dose in air, γ-radiation index, radiation greater than this positive correlation in the study area. Correlation between annual gonadal dose and absorbed gamma dose rate RA(nGyh−1) outdoorAGDE and ADRA (nGyh−1)indoor, indicating that most areas of study pose a clear risk to individuals in these areas.