We analyze the coupling of; CP-even and CP-odd Higgs bosons to a photo
n and a Z boson in extensions of the Standard Model. In particular, we
study in detail the effect of charged Higgs bosons in two-Higgs doubl
et models, and the contribution of SUSY particle loops in the minimal
supersymmetric extension of the Standard Model. The Higgs-gamma Z coup
ling can be measured in the decay Z --> gamma+Higgs at e(+)e(-) collid
ers running on the Z resonance, or in the reverse process Higgs --> Z
gamma with the Higgs boson produced at LHC. We show that a measurement
of this coupling with a precision at the percent level, which could b
e the case at future e(+)e(-) colliders, would allow to distinguish be
tween the lightest SUSY and standard Higgs bosons in large areas of th
e parameter space.