In this paper we present a time-dependent quantum wave packet calculation for the reaction of F(P-2(3/2),P-2(1/2))+H-2 on the Alexander-Stark-Werner potential energy surface. The reaction probabilities and the integral cross sections for the reaction of F(P-2(3/2),P-2(1/2))+H-2 (v=j=0) are computed using time-dependent quantum methods with the centrifugal sudden approximate. The results are compared with recent time-independent quantum calculations. The two-surface reaction probability for the initial ground spin-orbit state of J=0.5 is similar to the time-independent result obtained by Alexander et al. [J. Chem. Phys. 113, 11084 (2000)]. Our calculation also shows that electronic coupling has a relatively minor effect on the reactivity from the P-2(3/2) state but a non-negligible one from the P-2(1/2) state. By comparison with exact time-independent calculations, it is found that the Coriolis coupling plays a relatively minor role. In addition, most of the reactivity of the excited state of fluorine atom results from the spin-orbit coupling. (C) 2003 American Institute of Physics.