  We explore the possibility of explaining the $W$ boson mass with an extra
gauge boson mixing with the $Z$ boson at tree level. Extra boson mixing with
the $Z$ boson will change the expression of the $Z$ boson mass, thus altering
the $W$ boson mass. We explore two models in this work. We find that in the
Derivative Portal Dark Matter model, there are parameters space which can give
the observed $W$ boson mass, as well as the observed Dark Matter relic density.
These parameters space can also fulfill the constraints from the electroweak
oblique parameters and Dark Matter indirect detection. In the U(1) extension
model, the kinetic mixing between extra boson and $B$ boson can also give the
observed $W$ boson mass. However, to fulfill electroweak oblique parameters fit
the kinetic mixing in the U(1) model can only contribute about
$27~\mathrm{MeV}$ extra mass to the Standard Model $W$ boson mass. Both models
indicate the extra vector boson with the best fit mass around
$120~\mathrm{GeV}$.
