Electron donor and electron acceptor materials for solution‐processable polymer solar cells (PSCs) should ideally exhibit a narrow band gap (Eg) and high solubility for improved performance. Herein, we synthesized two new near‐infrared‐absorbing alternating polymers, namely P(BTz‐FQ) and P(BTz‐DTFQ), via Stille polymerization of 4‐butoxy‐5‐(4‐butoxy‐2‐(trimethylstannyl)thiazol‐5‐yl)‐2‐(trimethylstannyl)thiazole and 5,8‐dibromo‐2,3‐didodecyl‐6,7‐difluoroquinoxaline or 5,8‐bis(5‐bromothiophen‐2‐yl)‐2,3‐didodecyl‐6,7‐difluoroquinoxaline. The absorption spectra of P(BTz‐FQ) and P(BTz‐DTFQ) ranged from 300 to 900 nm with two distinct absorption maxima at 718 and 800 nm and 665 and 718 nm, respectively. Both polymers exhibited an identical Eg of 1.41 eV, which is the lowest value reported for quinoxaline‐based polymers to date. Their highest occupied (−5.04 and −5.09 eV) and lowest unoccupied (−3.63 and −3.68 eV) molecular orbital levels were suitable for their use as electron donors along with the fullerene derivative, [6,6]‐phenyl C71 butyric acid methyl ester, as the electron acceptor in PSCs. The maximum power conversion efficiencies obtained for the PSCs utilizing P(BTz‐FQ) and P(BTz‐DTFQ) were 0.51% and 0.71%, respectively. These findings demonstrate that thiazole and fluoroquinoxaline derivatives are promising materials for PSCs and other optoelectronic devices.