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Reaction probability, cross section and rate constant are studied for polyatomic reaction T+CH4 → CHs+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 splitoperator 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.