Nonresonant excitation of H 2 at 248 nm using 5 ps and 0.5 ps laser pulses with intensities 5 ϫ10 11 and 5ϫ10 12 W/cm 2 , respectively, is studied by measurement of the angle-speed distributions of the H ϩ photofragment using velocity map imaging. Three main H ϩ production channels are observed: ͑a͒ three-photon dissociation to H(nϭ1)ϩH(nϭ2) followed by photoionization of H(nϭ2); ͑b͒ dissociative ͑auto͒ionization following four-photon absorption to form H(nϭ1) ϩH ϩ ϩe Ϫ ; and ͑c͒ autoionization from a doubly excited state producing a H 2 ϩ vibrational distribution peaking at (v ϩ ϭ2,7,13) and subsequent photodissociation of these vibrationally excited ions. In the neighborhood of the energy sum of three 248 nm photons lie transitions to the BЈ 1 ⌺ u ϩ (3p) vibrational continuum and the two bound states BЉ 1 ⌺ u ϩ (4p)(vϭ2) and D 1 ⌸ u ϩ (3p)(vϭ4). These states are believed to play an important role in three-photon absorption and at the subsequent fourth photon level. Their effect on the observed kinetic energy and angular distributions is discussed.