ABSTRACTWe have developed a technique for treating the coupled dynamics of electrons and nuclei in a molecule which is subjected to ultrashort and ultra-intense laser pulses. This technique has been employed in quantitatively accurate simulations for . Many interesting phenomena have been observed, including photodissociation, bond softening, above-threshold dissociation, ion-population trapping, electron-population trapping, sudden electronic transitions, Rabi flopping, and harmonic generation. Some representative results are shown here.