In this paper, an X-band microstrip patch antenna has been presented with enhanced bandwidth. The proposed antenna is designed on 40 mm×40mm printed circuit board and is excited by microstrip line. Commercially available High Frequency Structural Simulator (HFSS) is adopted in this study This antenna is composed of rectangular and circular slots to generate two resonances and to increase bandwidth in the desired band. Return loss -17.14 dB and -14.29 dB are obtained below -10 dB in the desired X-band (8GHz-12GHz). It has achieved stable radiation efficiency 78.85% with average peak gain 4.31 dBi in the operating frequency band. The proposed antenna has an impedance bandwidth 1.59 GHz. The proposed X-band patch antenna is discussed and presented in detail.Keywords-FEM, FR4 substrate material, X-band, microstrip line.