The antenna along with the proposed Meta material structure designed to Resonate at 8.0GHz frequency. But the proposed Meta material cover significantly reduces the return loss and increases the bandwidth, and gain of the antenna in comparison to rectangular micro strip patch antenna. The Metamaterial substrate has a potential to reduce the circuit size of the antenna as well as maintain the amplitude of the return loss at the specific resonant frequency. The most attractive feature of the substrate is the ability of enhancing the bandwidth of a patch antenna at 8.0GHz frequency. The system is firstly modelled by Computer Simulation Technology Software (CST-2010). With the help of CST-2010, The return loss, directivity, & radiation pattern of compact rectangular Patch Antenna operating at 8.0 GHz frequency and rectangular Patch Antenna along with designed Meta material shape have been evaluated in this work.