Four ultra-wideband (UWB) antennas are proposed: one referenced antenna without notch and three novel antennas with one, two and three notched bands, respectively. The UWB referenced antenna consists of a beveled rectangular metal patch, a 50› microstrip line and a defective ground plane. Then, by utilizing one, two and three electromagnetic band-gap (EBG) structures on the UWB antenna, the antennas present one, two and three notched- band responses, respectively. The frequency domain characteristics including VSWR, transfer coe-cient S21, radiation patterns and group delay are investigated. It is found that the EBG design approach is a good candidate for frequency rejection at the certain frequencies, owing to high performance of notch design and the notched-band bandwidth control abilities. Meanwhile, these abilities also enable less useful frequencies rejected. The design examples exhibit good band- rejected characteristics in the WiMAX/WLAN interference bands (3.4, 5.2 and 5.8-GHz bands). Moreover, good time-domain characteristics of the antennas are checked based on group delay, waveform response, correlation coe-cient and pulse width stretch ratio (SR).