  The littlest Higgs model is the most economical one among various little
Higgs models. In the context of the littlest Higgs model, we study the process
$e^{+}e^{-}\to e^{+}e^{-}H$ at the ILC and calculate the correction of the
littlest Higgs model to the cross section of this process. The results show
that, in the favorable parameter spaces preferred by the electroweak precision
data, the value of the relative correction is in the range from a few percent
to tens percent. In most case, the correction is large enough to reach the
measurement precision of the ILC. Therefore, the correction of the littlest
Higgs model to the process $e^{+}e^{-}\to e^{+}e^{-}H$ might be detected at the
ILC which will give an ideal way to test the model.
