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In the framework of the littlest Higgs model with T-parity(LHT), weinvestigate the double Higgs production processes $e^{+}e^{-}\rightarrow ZHH$and $e^{+}e^{-}\rightarrow \nu\bar{\nu}HH$ at high energy $e^{+}e^{-}$colliders. We calculate the production cross sections and find that therelative correction at the center-of-mass energy $\sqrt{s}=500$ GeV canmaximally reach $-30%$ for the process $e^{+}e^{-}\rightarrow ZHH$ and $-16%$for the process $e^{+}e^{-}\rightarrow \nu\bar{\nu}HH$ in the allowed parameterspace, respectively. These large relative corrections can reach the detectionrange of the future $e^{+}e^{-}$ colliders so that they can be used to test theLHT effect. The two relevant decay modes $e^{+}e^{-}\rightarrow ZHH \rightarrowl\bar{l} b\bar{b}b\bar{b}$ and $e^{+}e^{-}\rightarrow \nu\bar{\nu}HH\rightarrow\nu\bar{\nu}b\bar{b}b\bar{b}$ are studied and some distributions of the signaland background are displayed.

Double Higgs production in the littlest Higgs Model with T-parity at high energy $e^{+}e^{-}$ Colliders