  The radiative decay width of a heavy Higgs boson $H \rightarrow W^+W^-\gamma$
for a {\it hard} photon is calculated in the Standard Model and its extension
with anomalous $\gamma WW$ 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.
