A novel Fractal planar inverted F antenna F-PIFA based on the self affinity design is presented in this paper. The procedure for designing a Fractal Planar Inverted F Antenna is explained and the 2nd iteration of Sierpinski Carpet is chosen as an antenna for mobile phones. The F-PIFA has a total dimension of 27 mm × 27 mm and is designed and optimized to receive GSM (Global System for Mobile Communication) and UMTS (Universal Mobile Telecommunication System) and HiperLAN (High Performance Radio LAN). The frequency ranges are from 1900 MHz to 2100 MHz, 1885 to 2200 MHz for 3G and 4800 MHz to 5800 MHz for HiperLAN respectively. The antenna covered the GSM, UMTS and HiperLan frequency ranges with -6dB return loss and has an almost omni-directional radiation pattern. This antenna has been tested using a mobile phone model and the performance met all the criteria for a mobile phone application.