[en] The spectrometer for the measurement energy of the prompt gamma rays from the reactions of inelastic scattering and radiation capture of neutrons are described. The timing selection prompt gamma-rays escaped from sample was used to decrease background. The measurement have been made of the differential cross sections of gamma ray production due to neutron interaction with the sample of silicon for incident neutron energy 14,1 MeV. Data were obtained using germanium-litium detector positioned at 70 deg and 90 deg with respect to the incident neutron beam. The correction factor of incident neutron attenuation and multiscattering and of gamma rays attenuation in sample were calculated by analytic method. The gamma ray production cross section for ten discrete levels excited by ²⁸Si(n,xγ) reactions have been evaluated. 7 refs.; 4 figs.; 1 tab