  The mass and decay constant of the axial-tensor meson nonets
$\rho_2,~\omega_2$ and a missing member and also their first excited states are
analyzed by the Thermal QCD sum rules model including QCD condensates up to
dimension five. Mass and decay constant values in terms of variations of
temperature are very well stable from $T=0$ up to ~$T \cong 120 ~\mathrm{MeV}$.
However nearly after these threshold, our numerical analysis indicate that they
begin to diminish with increasing temperature. Mass value of these mesons and
their first excited states decrease about $(1-13\%)$ compared to vacuum values
and $(10-26\%)$ for the decay constants according to PDG data and $(9-26\%)$
and $(2-34\%)$ respectively concerning Regge Trajectory Model in the
corresponding Thermal QCD sum rules calculations. The experimental results are
already copious, but expected to grow up at ongoing and future heavy-ion
experimental programs allowing us to compare our results.
