A risk assessment study of a hypothetical near-surface geological repository of low and intermediate radioactive wastes was estimated to determine the potential risks to future generations from the migration of five radionuclides in groundwater. Quantifying risk was done from the output concentration, of the radionuclides released due to degradation and total damage of the engineered and geological barriers of the disposal site. This simulation started after 100 years of institutional period through two scenarios of continuous release of 0.1%, and instantaneous release of the radionuclides to groundwater. The annual effective dose was calculated for Tritium, Cesium-137, Strontium-90, Iodine-129, and Technetium-99 that leached out to groundwater to determine the health risk to each critical individual with the time-dependent dose received to the human body through drinking water. The highest dose results for all radionuclides in both cases have exceeded the maximum dose limit at about 100 - 300 m within 47:100 years. The calculated risk obtained was much higher than the permissible risk limits at 100m in the two released scenarios and continuously decreases till 300m, except 3H has higher human risk values up to 1.5 km. So, the groundwater monitoring program should be continued for 200 y, and groundwater shouldn't be drilled at less than 1500 m from the disposal site.