Left-Right twin Higgs(LRTH) model predicts the existence of a pair of charged Higgs $phi^{pm}$. In this paper, we study the production of the charged Higgs bosons pair $phi^{pm}$ via the process $e^{+}e^{-}to phi^{+}phi^{-}$ at the International Linear Collider(ILC). The numerical results show that the production rates are at the level of several tens fb, this process can produce the adequate distinct multi-jet final states and the SM background can be efficiently reduced. We also discuss the charged Higgs boson pair production via the process $qbar{q}to phi^{+}phi^{-}$ at the $CERN$ Large Hadron Collider(LHC) and estimate there production rates. We find that, as long as the charged Higgs bosons are not too heavy, they can be abundantly produced at the LHC. The possible signatures of these new particles might be detected at the ILC and LHC experiments.