The processes e(+)e(-) --> eta gamma, pi(0)gamma --> 3 gamma were studied in the SND experiment at the VEPP-2M collider in the energy region of the phi meson. The branching ratios obtained in this study are Br(phi --> eta gamma) = (1.338 +/- 0.012 +/- 0.052)% and Br(phi --> pi(0)gamma) = (1.226 +/- 0.036(-0.089)(+0.096)) x 10(-3). A comparison of the experimental data with different theoretical models was performed.
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