The reaction cross-sections of 238U (n, γ)239U have been experimentally determined at the neutron energies of 6.117 ± 0.119 MeV, 4.626 ± 0.086 MeV and 3.622 ± 0.348 MeV employing the relative activation approach along with off-line γ-rays spectroscopy method. The D (d, n)3He reaction was utilized to obtain monoenergetic neutrons of the required energy and the 197Au (n, γ)198Au reaction cross-sections were adopted as the referential standard to ascertain the neutron capture cross-sections of 238U. Furthermore, the effects of low-energy scattered neutrons, neutron fluence fluctuation, the counting geometric corrections when measuring γ-rays, neutrons and γ-rays self-absorption caused by samples thickness have been considered and revised in the present work. For comparison with experimental results, the cross-sections of 238U (n, γ)239U reaction were calculated theoretically with original parametric TALYS-1.9 program. The experimental measurements were also in contrast with previous experimental results and the evaluation data available for ROSFOND-2010, CENDL-3.2 and ENDF/B-VIII.0.