A 154 kV class high temperature superconducting (HTS) power cable system is developing in Korea. For insulation design or this cable, the grading method of insulating paper is proposed. The use of graded insulation gives improved bending properties of the cable. Therefore, we discussed the electrical stress distribution and calculation for grading insulation design of a HTS cable. Also. the basic insulation design of 154 kV class HTS power cable was done.