Abstract: With the further development of various nuclear engineering projects and nuclear physics theories, the demand for higher-precision nuclear data has significantly increased. The γ-ray production cross section plays a crucial role in nuclear data and structure studies, and the γ branching ratios contribute to refining nuclear level schemes. The first white neutron source beamline in China has been established on the China Spallation Neutron Source, which can provide white neutrons ranging from 0.3 eV to 300 MeV. It is an ideal environment for conducting γ production cross section measurement experiment. However, the accompanying γ-flash causes severe signal pile-up or even saturation in slow time response γ detectors such us HPGe, and there is an urgent need to develop fast time response detectors for γ production cross section measurement experiments. As an emerging scintillation detector, LaBr₃ detector has good time resolution and strong anti-signal pile-up performance. They are less affected by beam conditions when conducting online γ spectrum experiments. But they have the problems like complex background and lower resolution than HPGe detectors. By setting up a hybrid measurement array of LaBr₃ detector and HPGe detector, the advantages can be combined to improve the measurement accuracy. The γ spectrum analysis method applicable to LaBr₃ through a combination of experimental measurement and Monte Carlo simulation was studied. The form of the fitting function in the energy spectrum of the LaBr₃ was analyzed, and the relationship between the peak shape parameter δ and step height parameter A_step in the fitting function with the variation of γ ray energy was studied. The analysis method of overlapping peaks in the energy spectrum was explored, and the fitting results were compared with offline calibration results to verify reliability. A hybrid array of LaBr₃ detector and HPGe detector was set up on the HI-13 tandem accelerator at the China Institute of Atomic Energy. The γ spectra of ⁵²Cr(n, n') reaction at 6.24 MeV and 7.95 MeV neutron energies, and ²⁰⁹Bi(n, n') reaction at 6.83 MeV neutron energy were measured. Through the spectral analysis method of the previous research, the single and multiple peaks in the characteristic peaks of the target material in the experimental spectrum were identified and analyzed, and finally the γ ray production cross-section to the target nuclear material was obtained. The measurement results of the LaBr₃ detector and HPGe detector are consistent with those of Mihailescu within the error range, verifying the feasibility and reliability of LaBr₃ detector in γ production cross section measurement. In the future, relevant experience and spectral analysis technique can serve as a foundation for further experimental measurements and data analysis at China Spallation Neutron Source.