One of important concept to design antenna is that antenna have small size. For mobile applications, one may want that antenna must have small size and must be capable to resonate at multiple frequency bands. There are number of techniques that can be useful for designing of antenna which include making use of fractal geometry, use of slot and DGS. In this paper, T-shaped patch antenna has been designed and fractal geometry has been applied to it in order to obtain self-similar characteristics.