A well-collimated T(d,n)4He fast neutron beam has been used to investigate the possibility of a precise measurement of the energy of fast neutrons using a 2- × 2-in. NE-213 liquid scintillator. Four sets of measurements were performed at 0-, 85-, 90-, and 95-deg nominal angles of the deuteron beam relative to the collimator axis. This experimental setup provides monoenergetic neutrons with nominal energies of 14.697, 14.115, 14.061, and 14.007 MeV, respectively. The results of the energy measurement of these monoenergetic neutrons are 14.718 ± 0.0292 MeV, 14.124 ± 0.0177 MeV, 14.072 ± 0.0144 MeV, and 14.028 ± 0.0155 MeV. The proton recoil spectra created in the liquid scintillator were unfolded with the FORIST unfolding code. The center of gravity of the measured neutron peak was assumed to be the value of the exact neutron energy.