The left–right twin Higgs (LRTH) model is a concrete realization of the twin Higgs mechanism, which predicts the existence of the top partner T. In this paper, we consider production of T associated with the top quark t at the high energy linear e+e− collider (ILC) and the LHC experiments, and its single production in future linac-ring type ep collider experiment. To compare our results with those of the littlest Higgs model with T-parity, we also estimate production of the T-even top partner T+ via the corresponding processes in these high energy collider experiments. A simply phenomenological analysis is also given.