Based on the preliminary design concept for the final disposal of low-level radioactive waste (LLW) in Taiwan, the creep behavior of the impervious layer made by bentonite in the disposal tunnel was investigated. Experimental study found that MX80 bentonite differs greatly in its shear strength upon saturation by groundwater intrusion, while its constant volume swelling pressure and hydraulic conductivity meet the relevant design requirements. Incorporating the creep model parameters obtained from the stress-controlled shear test, the ABAQUS software was used to simulate and analyze the creep deformation in the disposal tunnel for 1000 years. Numerical simulation showed that the disposal vault and the impervious layer moved 15.65 mm in vertical displacement and 26.70 mm in horizontal displacement due to swelling effect induced by the bentonite material. Research results may provide a reference for the future design, construction, and safety assessment of the low-level radioactive waste disposal.