  The mass and decay constant of the heavy quarkonia $h_{Q}(1P)$ and
$h_{Q}(2P)$ (Q = b, c) with quantum numbers $J^{PC} =1^{+-}$ are calculated in
the framework of the two-point QCD sum rule method by taking into account the
vacuum condensates up to eight dimensions. We compare our results for
parameters of the $h_{b}(1P)$ and $h_{c}(1P)$ quarkonia, and their first
radially excited states $h_{b}(2P)$ and $h_{c}(2P)$ with available experimental
data as well as predictions of other theoretical studies existing in the
literature. The results of present work may shed light on experimental searches
for the $h_{c}(2P)$ state.
