  In the "Higgs basis" for a generic 2HDM, only one scalar doublet gets a
nonzero vacuum expectation value and, under the criterion of minimal flavor
violation, the other one is fixed to be either color-singlet or color-octet,
which are named as the type-III and type-C models, respectively. In this paper,
the charged-Higgs effects of these two models on $B_s^0-\bar{B}_s^0$ mixing are
studied. Firstly, we perform a complete one-loop computation of the
electro-weak corrections to the amplitudes of $B_s^0-\bar{B}_s^0$ mixing.
Together with the up-to-date experimental measurements, a detailed
phenomenological analysis is then performed in the cases of both real and
complex Yukawa couplings of charged scalars to quarks. The spaces of model
parameters allowed by the current experimental data on $B_s^0-\bar{B}_s^0$
mixing are obtained and the differences between type-III and type-C models are
investigated, which is helpful to distinguish between these two models.
