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There are the differential spectrum regular measurements of the secondary photons (X-ray and gamma) produced by the cosmic rays in the Earth atmosphere carried out in Apatity. It lies in the energy range of 0.1-4 MeV and can be transformed into the radiation flux profiles in form of the energy-binned histogram with width of 100 keV per each bin. To measure the secondary photons differential spectrum the NaI(Tl) Ø65×65 mm scintillation crystal is used. This paper provides the description of the detector response function calculation method. To solve this task, we use the GEANT4 software development kit.