We investigated Be production mechanism in the neutrino-process in the core collapsing supernova (CCSN) by including recent updated nuclear reactions relevant to dominant production and destruction of Be. They involve production reactions by neutrinos C and O and other production reactions B(n,p)Be, Be(, n)Be. Inverse reactions of the latter two reactions, Be(p,n)B and Be(n, )Be play destruction channels for Be with Be(p,)Li, Be()C. By using recent updated information of relevant reactions and nearby nuclei we tried to pin down the ambiguities from those nuclear reactions. Our results display that other nuclear reactions not discussed yet, such as neutrino reaction on O and Be(, n)Be could play vital roles for the Be production int the CCSN.