  The Higgs boson production processes $e^{+}e^{-}\to
  ZH$, $e^{+}e^{-}\to \bar{\nu_{e}}\nu_{e}H$, and
  $e^{+}e^{-}\to t\bar{t}H$ are very important for studying Higgs boson
properties and further testing new physics beyond the standard model($SM$) in
the high energy linear
  $e^{+}e^{-}$ collider($ILC$). We estimate the contributions of the littlest
Higgs model with T-parity($LHT$ model) to these processes and find that the
$LHT$ model can generate significantly corrections to the production cross
sections of these processes.
  We expect the possible signals of the $LHT$ model can be detected via these
processes in the future $ILC$ experiments.
