Photoneutron cross sections were measured for 94 Mo, 95 Mo, 96 Mo, 97 Mo, 98 Mo, and 100 Mo near the neutron threshold with quasi-monochromatic laser-Compton scattering γ rays. The photoneutron data were analyzed with the Skyrme Hartree-Fock-Bogoliubov (HFB) plus quasiparticle random phase approximation (QRPA) model and the axially symmetric-deformed Gogny HFB plus QRPA model of E1 γ -ray strength. Combining the γ -ray strength function constrained by the present photoneutron data with either the nuclear resonance fluorescence data or the updated Oslo data to supplement the data below the neutron threshold, a thorough analysis of the reverse (n,γ ) cross sections is made whenever measurements are available. The Oslo data and the corresponding uncertainties are updated based on the latest results of the s-wave neutron spacing and the average radiative width determined in particular for 96 Mo. Finally, radiative neutron capture cross sections for two radioactive nuclei, 93 Mo and 99 Mo, are deduced with the γ -ray strength function method.