The resistance to neutron irradiation of LaBr3 scintillator was studied in this work. The change of background counting rate, light output and energy resolution of the LaBra scintillator were analyzed to determine whether the scintillator was damaged under different neutron flux rates induced by 24:Am-Be, D-T neutron generator, and reactor neutron source. The results show that the neutron radiation damage in LaBr3 scintillator is mainly affected by neutron flux rate. Under low flux rate, the properties of the scintillator were hardly changing, while under high flux rate, there is obvious deterioration in the background spectra and in the energy resolution because of the neutron activation. After a period, the neutron radiation damage will spontaneously recover.