We study contributions of electromagnetic and strong axial anomalies in the radiative decays of η and η′. Applying a dispersive approach, we derive the anomaly sum rule for a singlet axial current where both electromagnetic and strong parts of the axial exist. A low energy theorem is generalized for a case of mixing states and is applied to evaluate a subtraction part of the strong anomaly. We found a relatively small contribution of the strong anomaly to the two-photon decay amplitudes of the η and η′ mesons.