The submodels of spark channel short circuit and blow-out, which were described in the 1st report, were implemented into a spark ignition model. The short circuit, whose major factor is electric potential differences between two arbitrary locations, occurs in the early phase of the discharge period and the blow-out, whose major factor is discharge current, occurs in the latter phase of the discharge period respectively. The behavior of spark channel, current and voltage of the secondary circuit and the ignition limit by increase of EGR rate agreed with a measurement data of a spark ignition process in a chamber.