Reaction probability, cross section and rate constant are studied for polyatomic reaction T+CH₄ CH₃+HT using the semirigid vibrating rotor target (SVRT) model. The numerical calculation for the reaction system is carried out using the time-dependent wavepacket method, and the wavepacket is propagated by the split-operator method. The calculation exhibits a variety of features that can be used for comparison with future experimental investigations. The reaction probability as a function of the translational energy shows slight oscillatory structures, similar to those observed in H abstraction reactions H+H₂ and H+CH₄. The comparisons with the H+CH₄ reaction are described.