  We show an interesting correlation between the recent high precision
measurement of the $W$-boson mass by the CDF collaboration and the muon $(g-2)$
anomaly in the context of the two Higgs doublet model. One-loop diagrams
involving the exchange of neutral scalar bosons can explain the muon $(g-2)$,
which however requires significant mass splittings among members of the second
Higgs doublet. These splittings also generate a positive shift in the mass of
the $W$-boson, consistent with the recent CDF measurement. The charged and
neutral scalars of the model cannot be heavier than about 600 GeV for a
simultaneous explanation of the two anomalies. The entire parameter space of
the model can be tested at the LHC by a combination of same sign dimuon signals
in $pp \rightarrow (\mu^+ \mu^+ jj + {E\!\!\!\!/}_{T})$ and $pp \rightarrow
(\mu^+\mu^-\tau^+\tau^-+X)$ signals.
