It becomes more and more attention of the public that the research on the reduction of the specific absorption rate (SAR) of electromagnetic radiation on the human brain with the development of the mobile communications. The electromagnetic band gag（EBG）structure has highimpedance in some frequency band and its reflection wave is inphase with that of the incident wave, so it could suppress the surface waves formed on the printed board and improve antenna’s radiation preventing the transmission of electromagnetic wave in the direction of the human head. The simulation is carried out on the antenna with EBG at 1.8 GHz. The results show that comparing with the antenna without EBG structure, the SAR of electromagnetic wave is greatly reduced. Meanwhile, the antenna satisfies the technique indication such as Sparameters, radiation etc. The simulation also show that the antenna’s dimension is smaller. Based on the inphase reflection a lowprofile antenna with low SAR is achieved in this paper.