Quantum dynamical behavior of H-2(+) in the presence of a linearly polarized, ultrashort, intense, infrared laser pulse has been studied by numerically solving the time-dependent Schrodinger equation with nuclear motion restricted in one dimension along the direction of laser polarization and electronic motion in three-dimensions. On the basis of the time-dependent Born-Oppenheimer approximation, we have constructed time dependent potentials for the ground electronic state (1s sigma(g)) of H-2(+). Subsequent nuclear dynamics is then carried out on these field dressed potential energy surfaces, and the dissociation dynamics is investigated. Our analyses reveal that although the electronic longitudinal degree of freedom plays the major role in governing the dissociation dynamics, contributions from the electronic transverse degree of freedom should also have to be taken into account to obtain accurate results. Also, modeling electron-nuclei Coulomb interactions in a one-dimensional calculation with an artificially chosen constant softening parameter leads to a discrepancy with the exact results. Comparing our results with other quantum and classical dynamical studies showed a good agreement with exact results.