Acetic acid causes branching of PbSe nanorods during the synthesis of colloidal PbSe nanorods. Removing acetic acid in the reaction solution prevents branching, resulting in uniform nanorods. It increases the photoluminescence quantum yield of the nanorods from 11% (branched) to 38% (branchless). The branchless nanorods exhibit single-exponential photoluminescence decay with a decay constant of 1.3 μs, in contrast to multiple-exponential photoluminescence decay in branched nanorods with an e-folding lifetime of 0.12 μs. The diameter of the nanorods can be tuned from 3.9 to 5.8 nm by changing the reaction temperature, resulting in an energy gap tunable from 0.88 to 0.65 eV. The dependence of the energy gap on the diameter follows the power law: diameter −1.5 . The superior optical properties, including long exciton lifetime, high photoluminescence quantum yield, and tunable energy gaps, make the branchless PbSe nanorods an excellent candidate material for thermoelectric and optoelectronic devices.