We present a generalization of the Debye-Huckel free-energy-density functional of simple fluids to the case of two-component systems with arbitrary interaction potentials. It allows one to obtain the two-component Debye-Huckel integral equations through its minimization with respect to the pair correlation functions, leads to the correct form of the internal energy density, and fulfills the virial theorem. It is based on our previous idea, proposed for the one-component Debye-Huckel approach, and which was published recently cite{Piron16}. We use the Debye-Kirkwood charging method in the same way as in cite{Piron16}, in order to build an expression of the free-energy density functional. Main properties of the two-component Debye-Huckel free energy are presented and discussed, including the virial theorem in the case of long-range interaction potentials.