Protons with kinetic energies up to 4.4 eV have been observed in the dissociative photoionization of H2 using Ne II 26.9 eV line radiation. The most energetic protons must result from the dissociative autoionization of doubly excited H2, and it seems most probable that the lowest state of 1 Sigma u+ symmetry is involved. It is estimated from the integrated kinetic energy spectrum that at 26.9 eV the photoionization cross section for the production of 2 eV to 4.4 eV protons from H2 is 0.012-0.004+0.007 Mb.