Abstract: Using quantum molecular dynamic simulations, we studied the molecular dissociation and the equations of states of hydrogen and its isotopes under extreme conditions, and provided fitting parameters. By introducing the first order quantum corrections to the molecular and atomic fluid motions, the isotopic nuclear effect was discussed, and the difference of the dissociation ratio between hydrogen and deuterium was found. The Hugoniot curve was obtained according to the first principle equations of states, and the results were accordant with gas gun, chemical explosive, Z-pinch, and high power laser experiments. The isotopic effects appeared in the Hugoniot data for hydrogen and deuterium were also shown and discussed.