Adiabatic and nonadiabatic values of radiative lifetimes of rovibrational levels of the electronic states I1∏g- and J1Δg- of the H2 molecule are calculated by using data of ab initio calculations of matrix elements of dipole moments of transitions on vibrational wave functions. In comparing our results to those of semiempirical determination of these quantities that we obtained earlier, the two sets on average differed by 25% for rovibronic levels of the I1∏g- state and by 30% for rovibronic levels of the J1Δg- state. The inclusion of electronic-rotational interaction is shown to result in surprisingly small (