First, the nucleosynthesis in the universe was reviewed. In particular, the neutron capture nucleosyntheses in the Big-Bang and the s-and r-processes were reviewed in detail. It was pointed out that keV-neutron capture cross sections were important for the study on the neutron capture nucleosynthesis. Second, our measurement of keV-neutron capture cross sections was explained briefly, and the results on 7 Li, 12 C, and 16 O were shown and compared with previous experimental values and the predicted values from the 1/v law and the thermal neutron capture cross sections. The results at 30 keV on 12 C and 16 O were much larger than the 1/v predictions, while the result at 30 keV on 7 Li was in good agreement with the 1/v prediction. The large values for 12 C and 16 O were ascribed to the non-resonant p-wave neutron capture from the analysis of observed capture g-ray spectra and the neutron energy dependence of derived partial capture cross sections. As for 7 Li, the good agreement was ascribed to the peculiarity of bound states of its residual nucleus, which strongly suppresses the non-resonant p-wave neutron capture. Finally, it was shown that the non-resonant p-wave neutron capture is predominant in the neutron capture nucleosynthesis of light nuclei in the universe. q