Three triphenylamine-based broad band-gap polymers P1, P2, and P3 were designed and synthesized by Suzuki polycondensation. The optical band gaps of P1, P2, and P3 were 1.90, 19.5, and 1.99 eV, respectively. The calculated highest occupied molecular orbit energy levels of P1, P2, and P3 were -5.31, -5.29, and -5.32 eV, respectively, by cyclic voltammogram characterization. The hole mobilities of P1, P2, and P3 were 1.6 x 10(-4), 5.9 x 10(-5), and 4.1 x 10(-5) cm(2) v(-1) s(-1), respectively, by the space charge-limited current method. The polymer solar cells were fabricated under the device architecture of ITO/PEDOT:PSS/polymer:PC61BM or PC71BM/(PFN)/Al. All solar cells displayed the high open circuit voltages, where the highest ones can reach 0.90 V for P1 and P2. The P1- and P2-based solar cells gave the best power conversion efficiency of 3.37 and 3.34 %, respectively.