The growing usage of wireless networks and the reduction of device sizes requires the search for new solutions in antenna technology. This study presents a direct-fed microstrip antenna, which is based on the Dragon Curve fractal and operates at two resonances: 2.4 and 5 GHz, frequencies commonly used in wireless communications. The antenna dimensions are 4.25 by 2.84 cm. The simulated reflection coefficients for the resonances are -36.49 and -30.73 dB, while the measured values are -14.68 and -14.85 dB.