The RFID is a rapidly developing technology. It’s used in many applications such as logistics, ticketing, security, employee attendance record and others. Also, fractal technology is used in many areas, and recently in antenna design because it allows making multi-band and wide-band antennas. In this paper, two tri-band fractal antennas are studied for the Radio Frequency Identification (RFID) applications using the Method of Moment (MoM). The first one is designed for the RFID readers and it operates at 3.85 GHZ, 5.80 GHZ and 8.12 GHZ. The second one is designed for the RFID Tags and it operates at 3.94 GHZ, 5.65 GHZ and 8.20 GHZ.
 C. Varadhan, J. K. Pakkathillam, M. Kanagasabai, R. Sivasamy, R. Natarajan and S. K. Palaniswamy, “Triband Antenna Structures for RFID Systems Deploying Fractal Geometry,” IEEE Antennas and Wireless Propagation Letters, Vol. 12, 2013, pp. 437-440.
 B. Bieda and P. Slobodzian, “Efficiency of the IE-MoM Approach in the Analysis of Dielectric Bodies Embedded in a Cavity,” 2010 18th International Conference on Microwave Radar and Wireless Communications (MIKON), Vilnius, 14-16 June 2010, pp. 1-4.
 A. Mehdipour, L. Rosca, A. Sabek, C. Trueman and S. Hoa, “Full Composite Fractal Antenna Using Carbon Nanotubes for Multiband Wireless Applications,” IEEE Antennas Wireless Propagation Letters, Vol. 9, 2010, pp.891895. http://dx.doi.org/10.1109/LAWP.2010.2076342
 A. Ismahayati, P. J. Soh and R. Hadibah, “Design and Analysis of a Multiband Koch Fractal Monopole Antenna,” 2011 IEEE International RF and Microwave Conference (RFM), Seremban, 12-14 December 2011, pp. 58-62.
 A. Mak, C. R. Rowell, R. D. Murch and M. Chi-Lun, “Compact Multiband Planar Antenna for 2.4/3.5/5.2/5.8GHz Wireless Applications,” IEEE Antennas Wireless Propagation Letters, Vol. 11, 2012, pp. 144-147.
 D. C. Chang, B. H. Zeng and J. Liu, “CPW-Fed Circular Fractal Slot Antenna Design for Dual-Band Applications,” IEEE Transactions on Antennas and Propagation, Vol. 56, No. 12, 2008, pp. 3630-3637.
 J. H. Gu, S. S. Zhong, L. L. Xue and Z. Sun “Dual-Band Monopole Antenna for 2.45/5.8 GHz RFID Applications,” 2008 China-Japan Joint Microwave Conference, Shanghai, 10-12 September 2008, pp. 133-135.
 B. D. Bala, M. K. A. Rahim, N. A. Murad, M. F. Ismail and H. A. Majid, “Design and Analysis of Metamaterial Antenna Using Triangular Resonator,” 2012 Asia-Pacific Microwave Conference Proceedings (APMC), Kaohsiung, 4-7 December 2012, pp. 577-579.