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Aluminium curtain wall system is commonly used in high-rise residential complex. For the energy efficient curtain wall system, it is necessary to improve the insulation performance of fastening unit, which enjoins the curtain wall unit to the slab, because hot water pipes for radiant heating are installed on the slab in Korean residential building. However fastening unit becomes thermal bridge at which heat loss increases. It is attributable to the lack of insulation even though fastening unit is composed of metals with high thermal conductivity.Thus, this study aims to suggest the efficient insulation method for fastening unit to improve the energy performance. We suggest 8 alternatives that add insulation to the existing fastening unit. 3D heat transfer simulation was carried out for the estimation of annual heat loss, heating energy cost and payback period. As results, Case9 showed the best performance of reducing the heating energy cost, and Case3 was found to have the shortest payback period.