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Recent accidents of electric power cut in many south towns caused by snowstorm show the significance of electric power system security. High voltage cable terminal plays a very important part in the electric power supply system. Rubber stress cone is the key component of high voltage cable terminal, and its property is the main question in making high voltage cable terminal operates safely. In this paper, the numerical simulation model of the rubber stress cone is proposed concerning different type of rubber materials and different taper angles of rubber stress cone. Then, nonlinear finite element equations are established with increment analysis method basing on the Rivlin strain energy model of rubber material. The displacement and stress distribution of rubber stress cone are calculated by Newton-Raphson iterative method. This paper gives comparisons between different insulation rubber materials and different taper cones, whose stress distribution curves are analyzed. Thus suggestions on application of rubber insulations and the stress cone taper angle are presented. The paper also provides theoretical references to ensuring high voltage cable terminal operates safely and improving its capability to resist sleet and frost disasters.