In this paper, the analysis and design of a compact Ultra-Wideband (UWB) Wilkinson Power Splitter (WPS) is presented. The proposed splitter consists of two sections Wilkinson power splitter of equal characteristic impedances and unequal electrical lengths with a single stub on each section. The proposed power splitter examined analytically using the “Even Odd Mode" analysis method and the ABCD matrix. The simulation is done using Agilent ADS circuit and EM simulator. The proposed structure achieves an input return loss, S11 better than 12.2 dB, an output return loss, S22 and S33 better than 19.59 dB, output ports isolation, S23 and S32 better than 12.75 dB and insertion loss, S21 and S31 from 3.15 to 3.41dB through the whole UWB range from 3.1 GHz to 10.6 GHz. Furthermore, the power splitter has a compact size of 18.38 * 10.25 mm2 compared to other similar networks.