Ternary semiconductor Pb5Sb8S17 has been shown to be a candidate solar absorber. This work presents a new solar absorber of the same group – Pb5Sb8Se17. Pb5Sb8S17 precursor nanocrystals (NCs) are first synthesized using solution processing. A subsequent S to Se ion exchange transforms the Pb5Sb8S17 precursor into the monoclinic Pb5Sb8Se17-δ phase. The substitution of S by Se reduces the band gap Eg from 1.75 (Pb5Sb8S17) to 1.41 eV (Pb5Sb8Se17-δ), increasing the optical absorption band from 300 to 750 (Pb5Sb8S17) to 300–900 nm (Pb5Sb8Se17-δ). The Eg of 1.4 eV equals to the ideal Eg for the Shockley-Queisser-limit. Liquid-junction quantum dot-sensitized solar cells (QDSSCs) are fabricated from the Pb5Sb8Se17-δ NCs with three types of counter electrode (CE): Pt, Au and NiSe. The cell using NiSe CE yields the best PCE of 2.73% (1 sun). Under reduced sun intensities, the PCE increases to 5.47% (0.1 sun) and further to 5.91% (0.05 sun). The external quantum efficiency (EQE) spectrum yields an EQE-integrated photocurrent Jph of 26.8 mA/cm2. The PCE of Pb5Sb8Se17 is 50% higher than that of the host Pb5Sb8S17 (3.95%). The optimal Eg, a high Jph and a high PCE suggest that Pb5Sb8Se17-δ has potential to be an efficient solar absorber.