A cold-shrinkable type rubber sleeve includes an internal semiconductive layer made of a rubber material, a reinforced insulation layer, an external semiconductive layer, and a stress-relief cone at each end of the reinforced insulation layer, and two edge-cut sections. Each edge-cut section is prepared near each of the stress-relief cones by edge-cutting the external semiconductive layer in a direction of a length of the cold-shrinkable type rubber sleeve. The internal semiconductive layer, the reinforced insulation layer, the external semiconductive layer, and the stress-relief cones are molded into one piece that is cylindrical.