The neutron-proton scattering cross section at zero (${\ensuremath{\sigma}}_{0}$), which is an important experimental parameter in the analysis of low energy $np$ data, has been accurately redetermined by transmission measurements at 132 eV neutron energy on ${\mathrm{H}}_{2}$O, ${\mathrm{C}}_{6}$${\mathrm{H}}_{6}$, C${\mathrm{H}}_{3}$OH, and ${\mathrm{C}}_{7}$${\mathrm{H}}_{8}$. We obtain the total cross sections per molecule (132 eV) 44.731 \ifmmode\pm\else\textpm\fi{} 0.027, 151.40 \ifmmode\pm\else\textpm\fi{} 0.10, 90.37 \ifmmode\pm\else\textpm\fi{} 0.08, and 197.20 \ifmmode\pm\else\textpm\fi{} 0.34 b, respectively. To evaluate ${\ensuremath{\sigma}}_{0}$ we subtract the well-known cross sections of carbon and oxygen, and correct for the small contributions (0.1%) of capture, molecular binding, effective range, and deuterium. Combining all known errors from the experimental and evaluation procedure, we find ${\ensuremath{\sigma}}_{0}=20.491\ifmmode\pm\else\textpm\fi{}0.014$ b. This is 0.27%, or 2.4 standard errors, above the best previous measurement by Houk, and \ensuremath{\sim}0.6% above the mean of former data. Our result of ${\ensuremath{\sigma}}_{0}$ implies changes in the $np$ effective-range parameters towards higher values, by about twice the present standard errors in ${a}_{s}$, ${a}_{t}$, and ${r}_{0t}$ and 1 standard error in ${r}_{0s}$.NUCLEAR REACTIONS $^{1}\mathrm{H}(n, n)$, $E=132$ eV; measured ${\ensuremath{\sigma}}_{T}$. Cobalt-resonance neutron beam, targets ${\mathrm{H}}_{2}$O, ${\mathrm{C}}_{6}$${\mathrm{H}}_{6}$, C${\mathrm{H}}_{3}$OH, ${\mathrm{C}}_{7}$${\mathrm{H}}_{8}$.