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In the framework of the littlest Higgs model with T-parity (LHT), we investigate 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 the relative correction at the center-of-mass energy \(\sqrt{s}=500\) GeV can maximally reach \(-30\,\%\) for the process \(e^{+}e^{-}\rightarrow ZHH\) and \(-16\,\%\) for the process \(e^{+}e^{-}\rightarrow \nu \bar{\nu }HH\) in the allowed parameter space, respectively. These large relative corrections can reach the detection range of the future \(e^{+}e^{-}\) colliders so that they can be used to test the LHT effect. The two relevant decay modes \(e^{+}e^{-}\) \(\rightarrow ZHH \rightarrow l\bar{l} b\bar{b}b\bar{b}\) 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 signal and background are displayed.

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