A twisted inverted-F antenna(TIFA) is proposed for a dual-band application. The TIFA features a twisted line for dual bands and a parasitic line for additional resonance. The proposed antenna has wideband characteristics at the high frequency band due to the merge of the resonances of the twisted line and the parasitic line. The electric size of the antenna is $0.109{lambda}{ imes}0.025{lambda}{ imes}0.0025{lambda}$, whose length is about 44% of that of a conventional inverted-F antenna. The fabricated antenna on a thin FR4 substrate was measured to operate at 960 MHz with a bandwidth of 47 MHz, and at 1.8 GHz with a bandwidth of 289 MHz for $S_{11}$ less than -5 dB; the radiation efficiencies were 49% and 57%, respectively.