This thesis research has been conducted with an aim of investigating the effects ofmetamaterials on microstrip patch antennas. Metamaterials exhibit interesting propertiessuch as single negative or simultaneous double negative values of relative permittivityand permeability, due to which they have gained immense popularity. The influence of metamaterials on traditional patch antennas has been a topic of focusthroughout this research. Different metamaterial unit cells have been designed topossess satisfactory behavior in terms of permittivity and permeability. The use ofmetamaterials as a substrate for patch antennas has been explored, highlighting thepossibility of designing electrically small patch antennas. Several metamaterial unitcells and modified patch antennas have been designed and modeled in Ansys HFSS, ahighly competent full wave electromagnetic solver. On achieving a satisfactory resultsfrom a single patch antenna, the same concept has been applied to design a planarphased array patch antenna having 8×8 elements. The planar phased array antennawill be designed to enable beam steering from broadside toward the horizon.