By using the nuclear reaction model for light nuclei, the calculations of the double-differential cross sections of outgoing neutrons from n +9Be reactions are performed. The total outgoing neutrons are only come from the (n, 2n)2α reaction channel. The (n, 2n)2α reaction channel is achieved through six different reaction approach, which are illustrated in this paper. The calculated results agree very well with the measured data at En = 7.1, 8.09, 8.17, 9.09, 9.97 and 10.26 MeV, because the updated level schemes related to the n +9Be reactions have been employed in this calculations.