Recently, functionalization of construction materials using nano materials is being studied in domestic and overseas. In this study, functionalization of cement composites using excellent mechanical characteristics, electrical and thermal conductivity characteristics was carried out. The basic study on the heat characteristics of cement mortar containing Single-walled Carbon Nano Tube(SWCNT), one of the CNT types, has been carried out and this study is aimed to verify whether heat characteristics is effective at low content mixing. The experimental parameters were selected as CNT content, curing age, and supplied voltage. The size of specimens was 50 x 50 x 50mm3 and three specimens were fabricated. As a result, heat characteristics of the SWCNT cement mortar was confirmed even at a low CNT content. As the curing progressed, it was confirmed that heat generation effect was low. But it was confirmed that the heat characteristics were sufficiently exhibited when 100V or more voltage was supplied.