In this project, a multiband fractal dipole antenna is offered for use in communication systems applications, which operate at UHF/SHF bands. The antennas design is based on fractal geometry for the first, second, and third iteration fractal square and the third Quadratic Koch curve. The space-filling property, that the fractal geometry is characterized with it, as well as the self-similarity in fractal geometry structure is motivated to investigate this fractal geometry to use it in multiband dipole antenna design. The Numerical Electromagnetic Code (4NEC2) which is based on the Method of Moments, NEC-viewer package, and MATLAB programming language version 7.2 (R2006a) is utilized to analyze antenna performance. The first, second, and third iterations of square Koch and the third Quadratic Koch curve dipole wire antenna around 750MHz will be designed, where these design frequencies lie in the UHF band.