This document presents the design, simulation and construction of a fractal antenna from the model of a circular resonant antenna at 5.8 GHz. The modifications introduced to the antenna derive in a flame form. The different iterations were simulated using ANSYS HFSS 13.0, to obtain their main characterization parameters such as resonance frequency, bandwidth, return loss and Voltage Standing Wave Ratio. The main modification generated is to replicate the original shape by reducing its size by 0.7 mm in both the width and length of the antenna. The design establishes a characteristic impedance of 50Ω so that it can be coupled to other devices. From the multiple results obtained, it was concluded that the best characteristics are presented in the fourth iteration, where lower return loss and a bandwidth greater than 500 MHz are obtained. With the result of the fourth iteration, the antenna was constructed using the FR4 substrate, with a thickness of 1.6 mm, and a loss tangent of 0.02. A resonance frequency of 5.89 GHz, return loss -39.2 dB and BW of 701.6 MHz was obtained, allowing it to be considered within the Ultra Wide-Band standard.