  In this paper, we justify the convergence from the two-species
Vlasov-Poisson-Boltzmann (in briefly,VPB) system to the two-fluid
incompressible Navier-Stokes-Fourier-Poisson (in briefly, NSFP) system with
Ohm's law in the context of classical solutions. We prove the uniform estimates
with respect to the Knudsen number $\varepsilon$ for the solutions to the
two-species VPB system near equilibrium by treating the strong interspecies
interactions. Consequently, we prove the convergence to the two-fluid
incompressible NSFP as $\varepsilon$ go to 0.
