The unusual properties exhibited by left-handed metamaterials have been of great interest to researchers, especially in the field of RF and Microwave communication. The property of backward-wave propagation has led to a number of applications which were not possible with natural right-handed materials. One of the most exciting applications of these left-handed metamaterials is the Zeroth Order Resonator (ZOR) wherein resonance is achieved even at the zeroth mode, which is not possible with the traditional right-handed materials. This has led to the design of Composite Right/Left-Handed (CRLH) ZOR antennas whose resonance frequency does not depend on the physical length of the resonator. In this thesis the theory behind the ZOR antennas is studied and their applicability for use as RFID tag antennas is explored. Three novel CRLH ZOR antenna configurations are proposed targeting the UHF RFID tag application. The antennas are simulated using Agilent ADS Momentum and the simulation results are compared with those of the traditional 2-cell and 4-cell CRLH ZOR antennas that have been previously designed. The novel antennas are also compared with a simple rectangular patch antenna to demonstrate the reduction in size achieved through the use of left-handed metamaterials. The novel antennas are also simulated with varying values of the substrate height, metal thickness, and dielectric loss tangent and the effect of these parameters on antenna performance is analyzed. The three novel antennas and a rectangular patch antenna are fabricated and the experimental results are presented. The novel antennas are found to be around 30 times smaller than the rectangular patch antenna radiating at the same frequency.