Wideband application put a new demand on antennas pertaining to size, gain, efficiency, bandwidth and more. This paper presents the design and analysis of fractal antenna which uses the self similarity property of fractal geometry. This unique property is exploited to develop antenna elements that are wideband and compact possessing highly desirable properties. The presented antenna is circle inscribed octagon shaped. Simulation results show that the antenna can be used in different frequency ranges exhibiting wideband properties. Radiation pattern and gain characteristics are also analyzed.