This paper presents a compact microstrip patch antenna at operating frequency of 2.5 GHz. The radiating element of the proposed antenna consists of Swastika symbol patch using dielectric substrate 4.2, loss tangent 0.0012 and having the same substrate height 1.6 mm. The antenna size is very compact (28.8 mm × 37.2 mm × 1.6 mm) and covers 1.696 GHz to 2.646 GHz and can be used for GSM and WLAN applications. Using IE3D software package of Zealand, the designed antenna is simulated. The computer simulation results show that the antenna can realize wideband characteristics having good impedance bandwidth of 43.758% (VSWR ≤ 2) for all resonant frequencies. Our aim is to reduce the size of the antenna as well as increase the impedance bandwidth.