A recent measurement of 4 He photodisintegration reactions, 4 He(γ,p) 3 H and 4 He(γ,n) 3 He with laser-Compton photons shows smaller cross sections than those estimated by other previous experiments at Eγ < ∼ 30 MeV. We study big-bang nucleosynthesis with the radiative particle decay using the new photodisintegration cross sections of 4 He as well as previous data. The sensitivity of the yields of all light elements D, T, 3 He, 4 He, 6 Li, 7 Li and 7 Be to the cross sections is investigated. The change of the cross sections has an influence on the non-thermal yields of D, 3 He and 4 He. On the other hand, the non-thermal 6 Li production is not sensitive to the change of the cross sections at this low energy, since the non-thermal secondary synthesis of 6 Li needs energetic photons of Eγ > ∼ 50 MeV. The non-thermal nucleosynthesis triggered by the radiative particle decay is one of candidates of the production mechanism of 6 Li observed in metal-poor halo stars (MPHSs). In the parameter region of the radiative particle lifetime and the emitted photon energy which satisfies the 6 Li production above the abundance level observed in MPHSs, the change of the photodisintegration cross sections at Eγ < ∼ 30 MeV as measured in the recent experiment leads to ∼ 10 % reduction of resulting 3 He abundance, whereas the 6 Li abundance does not change for this change of the cross sections of 4 He(γ,p) 3 H and 4 He(γ,n) 3 He. The 6 Li abundance, however, could show a sizable change and therefore the future precise measurement of the cross sections at high energy Eγ > ∼ 50 MeV is highly required.