  We consider the implication of the recent CDF $W$-mass anomaly in the general
framework of two Higgs doublet model. We find that the large deviation of the
$S$ and $T$ parameters from their SM values of zero leads to the upper limit of
about $1$ TeV on the heavy charged and neutral Higgs bosons when it is combined
with the theoretical constraints from the perturbative unitarity and for the
Higgs potential to be bounded from below.
