  We study the decay of three neutral Higgs bosons into {\gamma}{\gamma} and
Z{\gamma} in the four major types of two Higgs doublet models with CP
conserved. Particular focus is made on the possibility of the width of the
latter decay dominating over the former. For the 125-GeV scalar, such a
possibility is mostly excluded when one imposes all theoretical and
experimental constraints, other than the Higgs data at the Large Hadron
Collider. For the other CP-even neutral scalar, there remain regions in each
kind of model where the Z{\gamma} mode dominates. For the CP-odd state, this
possibility is restricted to only the models of Types II and Y, in certain
regions of the parameter space.
