[en] Using the extrapolation of existing data, estimations of prompt-photon production at FAIR energies have been made. At y = y_c.m. the rapidity density of prompt photons with p_t > 1.5 GeV/c per central Au + Au event at 25 A GeV is estimated as ∼10^-4. With the planned beam intensity 10⁹ per second and 1% interaction probability, for 10% of most central events one can expect the prompt-photon rate ∼10² photons per second. Direct photons from the hadron scenario of ion collisions generated by the Hadron-String-Dynamics (HSD) transport approach with implemented meson scatterings πρ ^→ πγ, ππ ^→ ργ have been analyzed. Photons from short-living resonances (e.g., ω ^→ π⁰γ) decaying during the dense phase of the collision should be considered as direct photons. They contribute significantly in the direct photon spectrum at p_t = 0.5-1 GeV/c. At the FAIR energy 25 A GeV in Au + Au central collisions the HSD generator predicts, as a lower estimate, γ_direct/γ ₍π⁰) ≅ 0.5% in the region p_t = 0.5-1 GeV/c. At p_t = 1.5-2 GeV/c γ_prompt/ γ ₍π⁰) ≅ 2%. Thermal direct photons have been evaluated with the Bjorken Hydro-Dynamics (BHD) model. The BHD spectra differ strongly from the HSD predictions. The direct-photon spectrum is very sensitive to the initial temperature parameter T₀ of the model. The 10-MeV increase in the T₀ value leads to ∼2 times higher photon yield.