Polymer photodiodes with broad spectral response above 1500 nm can be used for imaging in the near‐infrared window of the atmosphere. Three low‐bandgap polymers based on 3,6‐dithiophen‐2‐yl‐2,5‐dihydropyrrolo[3,4‐c]pyrrole‐1,4‐dione (DPP), [1,2,5]thiadiazolo[3,4‐g]quinoxaline (TQ), benzobisthiadiazole (BBT), and dithienopyrrole (DTP) are designed and synthesized. No‐gain and gain polymer photodiodes with polymers:PC71BM as active layer materials and with aluminum doped ZnO nanoparticles:2,9‐bis(3‐(dimethylamino)propyl)anthra[2,1,9‐def:6,5,10‐d′e′f′]diisoquinoline‐1,3,8,10(2H,9H)‐tetraone (AZO:PDIN), MoO3, and 2,9‐dimethyl‐4,7‐diphenyl‐1,10‐phenanthroline (BCP) as interlayer materials are prepared. No‐gain photodiodes based on polymer P1 exhibit the external quantum efficiency (EQE) of 7.8% at 1200 nm, which is among the best values of polymer photodiodes known to date. Gain photodiodes based on P1 and P3 also exhibit a maximal EQE near 1200 nm. In addition, gain photodiodes based on P1 have a specific detectivity over 1013 Jones in 300–1360 nm and spectral response in the region of 300–1700 nm.