Radiative corrections to the decay h→Zγh→Zγ are evaluated in the one-loop approximation. The unitary gauge is used. The analytic result is expressed in terms of the Passarino-Veltman functions. The calculations are applicable for the Standard Model as well for a wide class of its gauge extensions. In particular, the decay width of a charged Higgs boson H±→W±γH±→W±γ can be derived. The consistence of our formulas and several specific earlier results is shown.