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The left-right twin Higgs (LRTH) model predicts the existence of the neutral Higgs bosons (h, φφh) via γγ collisions at the next generation e International Linear Collider (ILC). Our numerical results show that the production cross section of the neutral Higgs boson pair φ can reach 8.8 fb. The subprocess γγ→φ might be used to test the LRTH model in future ILC experiments.