In the space-fixed(SF)coordinate frame and body-fixed(BF) coordinate frame, we cal-culete the state to state transitional probabilities for the He-H2 system by using the rencently developed close coupling wave packet method. The results shows that (1) the two theories formulated in the SF frame and BF frame are equivalent, and the calculated results of the two method coincide with that of close coupling method, (2) the calculational efficience in the SF, frame is higher than that in the BF frame as the number of coupled terms increases.