The radiative decay width of a heavy Higgs boson
for a {\it hard} photon is calculated in the Standard Model and its extension with anomalous
couplings. Its dependence on the Higgs mass, the two unknown anomalous couplings, and the photon energy cutoff are studied in detail. We show that this radiative decay of a heavy Higgs is not very sensitive to a wide range of the anomalous couplings compared to the Standard Model result.