  We calculate one-loop corrected Yukawa coupling constants $hf\bar{f}$ for the
standard model like Higgs boson $h$ in two Higgs doublet models. We focus on
the models with the softly-broken $Z_2$ symmetry, which is imposed to avoid the
flavor changing neutral current. Under the $Z_2$ symmetry, there are four types
of Yukawa interactions. We find that one-loop contributions from extra Higgs
bosons modify the $hf\bar{f}$ couplings to be maximally about $5\%$ under the
constraint from perturbative unitarity and vacuum stability. Our results show
that the pattern of tree-level deviations by the mixing effect in each type of
Yukawa couplings from the SM predictions does not change even including
radiative corrections. Moreover, when the gauge couplings $hVV$ ($V=W,Z$) are
found to be slightly (with a percent level) differ from the SM predictions, the
$hf\bar{f}$ couplings also deviate but more largely. Therefore, in such a case,
not only can we determine the type of Yukawa couplings but also we can obtain
information on the extra Higgs bosons by comparing the predictions with
precisely measured $hf\bar{f}$ and $hVV$ couplings at future electron-positron
colliders.
