  We present the implications of the recent measurement of $W$ boson at CDF II
on the two-Higgs-doublet model (2HDM). In the analysis, we impose theoretical
bounds such as vacuum stability and perturbative unitarity, and several
experimental constraints. In addition, we take into account the measurement of
$\sin^2\theta_W(m_Z)_{\rm \bar{MS}}$ on top of the CDF $W$-boson mass to
investigate how the $S$ and $T$ parameters are determined. We explore two
possible scenarios depending on whether the Higgs boson observed at the LHC is
the lighter or heavier of $CP$-even neutral Higgs bosons for 2HDM type I and
II. Using the results, we show how the parameter space is constrained, and
compare it with the one based on the PDG average of $m_W$. Furthermore, we
explore phenomenological consequences of electroweak precision observables that
can be affected by $m_W$ within the predictions of the 2HDM, and the reduction
in parameter space expected from future measurements at the Future Circular
Lepton Collider.
