The purpose of this work is the precise determination of the 238U neutron capture yield (i.e. the probability of neutron capture) as a function of neutron energy with the highest available neutron energy resolution. The motivation for this undertaking arises from the central role played by the 238U neutron capture process in the neutron balance of both thermal reactors and fast breeder reactors. The present measurement was performed using the Oak Ridge Electron Linear Accelerator (ORELA) facility. The pulsed beam of neutrons from the ORELA facility is collimated on a sample of 238U. The neutron capture rate in the sample is measured, as a function of neutron time-of-flight (TOF) by detecting the γ-rays from the 238U(n, γ) 239U reaction with a large γ-ray detector surrounding the 238U sample. At each energy, the capture yield is proportional to the observed capture rate divided by the measured intensity of the neutron beam. The constant of proportionality (the normalization constant) is obtained from the ratio of theoretical to experimentally measured areas under small 238U resonances where the resonance parameters have been determined from high-resolution 238U transmission measurements. The cross section for the reaction 238U(n, γ) 239U can be derived from the measured capture yield if one applies appropriate corrections for multiple scattering and resonance self-shielding. Some 200 238U neutron resonances in the energy range from 250 eV to 10 keV have been observed which had not been detected in previous measurements.