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Microstrip patch antennas represent one family of compact antennas that offer a conformal nature and the capability of ready integration with communication system's printed circuitry. This paper highlights a constructed of 2.4 GHz of a coaxial - fed rectangular spiral microstrip patch antenna for WLAN application where it's mounted on a high frequency laminates Rogers 5880 Duroid with 2.2 dielectric constant and 0.508 mm of thickness. The radiation pattern of this antenna illustrates an omni-directional pattern with voltage standing wave ratio of less than two, return loss less than -10 dB, the line impedance of 50 Ohm. The results show the consistency in the simulated and fabricated antenna.