  In this work, we systematically investigate the one-loop corrections to
$t\bar{t}$ production in the littlest Higgs model with T-parity (LHT) at the
LHC for $\sqrt{s}=8,14$ TeV. We focus on the effects of LHT particles on
$t\bar{t}$ cross section, polarization asymmetries, spin correlation and charge
asymmetry at the LHC. We also study the top quark forward-backward asymmetry at
Tevatron and its correlations with the LHC observables. We found that: (1) the
contributions of the LHT particles to $t\bar{t}$ production can only reach
about 1% at the 14 TeV LHC. Meanwhile, the anomalous top quark forward-backward
asymmetry at Tevatron is also hardly to be explained in the LHT model. (2) the
parity violating asymmetries in $t\bar{t}$ production, such as left-right
asymmetry $|A_{LR}|$ and the polarization $|P_t|$ can respectively reach 1.1%
and 0.5%, which may have the potential to provide a signal of LHT at the LHC.
