The cross section of the ^23Na(n, γ)^24Na reaction has been measured via the activation method at the Karlsruhe 3.7 MV Van de Graaff accelerator. NaCl samples were exposed to quasistellar neutron spectra at kT=5.1 and 25 keV produced via the ^18O(p, n)^18F and ^7Li(p, n)^7Be reactions, respectively. The derived capture cross sections 〈σ〉_ kT=5 keV=9.1±0.3 mb and 〈σ〉_ kT=25 keV=2.03 ± 0.05 mb are significantly lower than reported in literature. These results were used to substantially revise the

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... radiative width of the first ^23Na resonance and to establish an improved set of Maxwellian average cross sections. The implications of the lower capture cross section for current models of s-process nucleosynthesis are discussed.