Abstract: A dual band inset fed microstrip patch antenna designed for 2.35 GHz and 3.7 GHz Wi-Fi band applications is presented. The designed antenna has a rectangular patch with inset feed which is mounted on a FR4 substrate. The patch dimension, positioning and dimensions of the feed are determined by standard formulae. The antenna proposed performs well both in Return loss and VSWR. Return loss of -23.23 dB and -21.16 dB, VSWR of 1.20 and 1.56 were achieved for 2.35GHz and 3.7 GHz respectively. Simulation based techniques of HFSS were used to optimize the results. The simplicity in the geometry of the designed receiver antenna is attractive for its use in Radio Frequency Energy harvesting(RFEH) System. Keywords—Dual band antenna, inset fed, RF Energy Harvesting, WiFi band, WiMAX band, HFSS.