This monograph presents a few analytical and characterizing methods for miniturizing of antenna. Although this presentation is far from complete the emphasis is on the methods which are most effective and the best known to author for reducing the size of an antenna. The analytical methods have difficaulties to deal or implement a full scale numerical solution for the structure due to its arbitrary shape. On the other hand assumptons and avers made at the begining of the study proved fairly, however while constructing the structure there were several conditions that could not be represented accurately and adequately. Nonetheless with continued improvements in computational resources, the capability of desgning structures should continue to improve.