The initial state-selected time-dependent wave packet dynamics calculation has been performed for the Cl+CHD3→HCl+CD3 reaction with a seven-dimensional(7D)model,based on an ab initio potential energy surface.The 7D model assumes that the non-reacting CD3 group keeps C3v symmetry in the reaction with CD bond length fixed at its equilibrium value.The total reaction probabilities are calculated for CHD3 initially in its CH stretching excited state and rotational excited states :(j,k)=(0,0)/(1,0)/(1,1)/(2,0)/(2,1)/(2,2).The integral cross sections for these states are calculated with the centrifugal-sudden and J-shift approximation.The results are in good agreement with the recent experimental observations.This work demonstrates that the fine effect in polyatomic reaction could be theoretically studied.