Photoneutron cross sections were measured for five stable Nd isotopes, 143,144,145,146,148 Nd, near neutron threshold with highly monochromatic laser-Compton scattering γ rays. The photoneutron data were compared with the calculations performed with the TALYS reaction code with inputs of the Skyrme Hartree-Fock-Bogoliubov (HFB) plus quasi-particle random phase approximation (QRPA) model and the axially symmetric deformed Gogny HFB plus QRPA model of E1 γ -ray strength. Using the γ -ray strength function constrained by the present photoneutron data, a thorough analysis of the reverse (n,γ ) cross sections is made. Radiative neutron capture cross sections for an s-process branching-point nucleus in the rare earth region, 147 Nd with the half-life 10.98 d, are deduced with the γ -ray strength function method. The impact of the newly evaluated 147 Nd(n,γ ) 148 Nd cross section on s-process nucleosynthesis is discussed.