This paper deals with the miniaturization of fractal antenna by using novel Giuseppe peano fractal antenna for wireless applications. The antenna is designed on FR4 glass epoxy substrate with dielectric constant 4.4 and thickness 1.6mm. The resonant frequency of 4GHz is used to design the proposed antenna. Iterations of proposed antenna are designed and fabricated to analyze the different antenna parameters such as return loss, gain, VSWR etc. The 1st iteration of antenna resonates on 3.61GHz, 6.20GHz and 8.43GHz frequency band and 2nd iteration resonates on 2.10GHz, 2.85GHz, 5.158GHz and 9.11GHz. Resonant frequencies for both the iterations of antenna are reduced considerably without changing antenna dimensions which shows that the miniaturization is achieved. Proposed antenna is designed and simulated by using HFSS (High Frequency Structure Simulator) V13 software. Both the iterations of antenna are fabricated and tested using VNA. Measured results are compared with simulated results and both are in agreement with each other. The designed antenna can be used for different wireless applications such as WLAN (4.82– 5.95GHz), bluetooth (2.12–2.95GHz), X-band (8–12GHz) etc.