When an abnormal condition occurs due to a fault current at a consumer location where electricity is supplied through high-Tc superconducting(HTS) cable, the HTS cable would be damaged if there is no appropriate method to protect it. The fault-current-limiting type HTS cable that is suggested in this study has a structure of transport part and limit part. It conduct a zero impedance transport current at ordinary operations and carry out a fault current limiting at extraordinary operations. To make a perfect this structure, it is essential to investigate electrical properties of transport part that comprise the fault-current-limiting type HTS cable. In this paper, transport part that comprise HTS wire with copper stabilization layer is examined the current transport properties and the stability evaluation.