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The growing demand of wireless services requires the definition of new standards able to provide an increased degree of mobility for the end user and a higher speed of data transmission. Among emerging standards, one of the most promising is the IEEE 802.16 Wireless Metropolitan Area network Air Interface (generally called Wimax).In last few decade the miniaturization led antenna to be conformal, low profile, multi –band, hence Fractal antennas came into existence which due to its self-similar geometry takes less area and thus its low profile. This paper presents the design of Sierpinski carpet fractal antenna for three iterations. This antenna is designed using HFSS software on FR4 substrate having dielectric constant 4.4 and having fed 50 ohms micro-strip line and optimized to operate in multiple bands between 2 – 6 GHz.