The left-right twin Higgs (LRTH) model predicts the existence of three additional Higgs bosons: one neutralHiggs φ~0 and a pair of charged Higgs bosons φ~±.In this paper, we study two pair production processes of these newparticles at the next generation eγ colliders, i.e., e~-γ→e~-φ~+φ~-, and e~-γ→v_Rφ~-φ~0.We find that the productioncross section of the process e~-γ→e~-φ~+φ~-are at the level of several tens fb, the production cross section of the processe~-γ→v_Rφ~-φ~0 can reach 0.35 fb with the reasonable parameter values.As long as the charged Higgs bosons are not tooheavy, we conclude that these processes might be used to test for the left-right twin Higgs model in future high-energylinear collider experiments.