A novel tapered slot antenna (TSA) with 3.5/5.5 GHz dual band-notched characteristics for ultra-wideband (UWB) radios is proposed in this paper. To realize dual band-notched characteristics at the TSA, we employ (a) a pair of nested C-shaped stubs beside the feed line and (b) a broadband microstrip-to-slot-line transition with an Archimedean spiral-shaped slot. The proposed antenna has been successfully simulated, implemented, and measured. An equivalent circuit model of the proposed antenna is also presented to discuss the mechanism of the dual band-notched TSA. The measured data for the optimized case show the bandwidth for the VSWR < 2 to be 9.2 GHz (from 2.4 to 11.6 GHz) with two notched bands of 3.1-4.0 GHz (WiMAX band) and 5.1-6.2 GHz (WLAN band), respectively. The measured electrical parameters of the proposed antenna and its radiation patterns show excellent performance with good pulse handling capabilities. Also, the 3.5/5.5 GHz dual band-notched characteristics are achieved without increasing the size of the single band-notched TSA reported previously.