We have investigated the ionization and dissociation behavior of H+2 in ultrashort intense laser pulses with classical dynamics and quantum mechanics methods respectively. The similar results are obtained, that is, the ionization dominates the decay mechanism of H+2 under the irradiation of ultrashort intense laser pulses. However, the limited quantum calculations understimate the dissociation probability; The classical results do not demonstrate the stabilization effect of H+2 in superstrong laser pulses. In addition, the classical calculations indicate that the ionization rate attains a maximum when the internuclear separation R extends to a critical rang. This agrees well with the charge-resonance enhanced ionization effect which is found by quantum calculations.