The properties of asymmetric nuclear matter have been investigated in the framework of the selfconsistent Green function approach at zero temperature. Results of the total energy per nucleon as a function of the density and asymmetry parameter are presented for two modern realistic nucleon–nucleon interactions: Nijmegen II and CD-Bonn. For comparison purposes, the same calculations are performed for Brueckner–Hartree–Fock approximation. Also we have compared our results with the predictions of other theoretical models especially the Dirac–Brueckner–Hartree–Fock approach. The self-consistent Green’s function approach leads to a stiffer equation of state as compared to the Brueckner–Hartree–Fock approximation. This effect increases with density.