  In the framework of the littlest Higgs($LH$) model, we consider the processes
$e^{+}e^{-}\to\nu\bar{\nu}H^{0}$ and $e^{+}e^{-}\to
W^{*}W^{*}\nu\bar{\nu}\to\nu\bar{\nu}t\bar{t}$, and calculate the contributions
of new particles to the cross sections of these processes in the future high
energy $e^{+}e^{-}$ collider($ILC$) with $\sqrt{S}=1TeV$. We find that, with
reasonable values of the free parameters, the deviations of the cross sections
for the processes $e^{+}e^{-}\to\nu\bar{\nu}H^{0}$ from its $SM$ value might be
comparable to the future $ILC$ measurement precision. The contributions of the
light Higgs boson $H^0 $ to the process $e^{+}e^{-}\to
W^{*}W^{*}\nu\bar{\nu}\to\nu\bar{\nu}t\bar{t}$ are significant large in all of
the parameter space preferred by the electroweak precision data, which might be
detected in the future $ILC$ experiments. However, the contributions of the new
gauge bosons $B_{H}$ and $Z_{H}$ to this process are very small.
