In this paper, we propose a new band-notched tapered monopole antenna for ultra-wideband applications. The antenna structure is etched on a 1 mm-FR4 epoxy substrate with dielectric constant εr = 4.4. The ground plane and radiating patch are tapered to obtain good wide impedance matching performance. Inserting two slots in the ground plane causes to greatly widen the impedance bandwidth. By embedding a folded trapezoid in an inner hole of the patch, the band-notch function can be achieved. The fabricated antenna has a small size of 18 mm × 20 mm and operates over the frequency band between 3 to 13 GHz for VSWR < 2, rejecting the undesired frequency band from 5.1 to 5.85 GHz.