Vib-rotational state-selected and energy resolved total reaction probabilities for the title reaction in three dimensions are calculated on the McLaughlin-Thompson-Joseph-Sathyamurthy potential energy surface, by the time-dependent wave packet (WP) method for the total angular momentum J=0. The probabilities as obtained by the time-energy mapping of the reactive flux of the WP across a dividing surface in the asymptotic product channel reveal a large number of narrow resonances, in agreement with the time-independent quantum mechanical results available in the literature. While initial vibrational excitation of H-2(+) is shown, in general, to enhance the reaction probability considerably, in agreement with the experimental observations, rotational excitation has only a marginal influence. (C) 1997 American Institute of Physics. [S0021-9606(97)00841-6].