In this paper, a probe feed patch antenna is designed and simulated using the Ansoft HFSS environment. Choosing a suitable substrate material is extremely important while designing a patch antenna; because a proper selection of the substrate material is necessary to fulfill the specific antenna requirements. The overview of a patch antenna is given in the initial section which is followed by the design procedure. The basic characteristic features of an antenna i.e. gain, directivity, etc. are discussed in details with relevant formulae.