High temperature superconducting (HTS) cable termination is an important component of the HTS cable system, which functions to connect the HTS cable and the conventional cable accessory. The stress cones of the HTS cable termination can improve the internal electric field distribution and the electrical insulation strength of the cable termination. In this paper, the mathematical model and equivalent circuit model of the stress cones are built and the genetic algorithm is adopted to the design of 110-kV HTS cable terminal stress cone. The capacitance, radial electric field, axial electric field, voltage, insulation thickness and other parameters of the stress cone were compared before and after the optimization of the stress cone. Finally, the simulations of the stress cone with the optimized structure were made using finite-element analysis software COMSOL to test the optimization result.