Metamaterial exhibiting negative permittivity and negative permeability in certain frequency range or known as left-handed material (lhm), provides another alternative to the existing right-hand rule. with this theory, it offers a new dimension to the patch antenna applications as well as optic. the negative refractive index and the convergence of the electromagnetic waves when passing through the metamaterial is good for optical applications. however, this topic looks the effect of metamaterial structure to the conventional antenna and concentrates on proving the existence of the negative index material within certain frequency regions. also, the relationship between different varies dimensions used affect the frequency response is being emphasized in order to understand further the metamaterial structure and its properties. knowing that, the structure is optimized to get the left-handed properties in x-band frequency. the theoretical calculation give a reference value to work with, while the simulation via hfss simulation tools is used to optimized and confirmed to the theoretical result. then the simulation can performed on the antenna with metamaterial structure and the effect can be observed and analysed where we can see a frequency shift occurred.