[en] The electronic band structures of BeSiN₂ and BeGeN₂ compounds are calculated using the quasiparticle self-consistent GW method. The lattice parameters are calculated for the wurtzite based crystal structure commonly found in other II–IV-N₂ compounds with the Pbn2₁ space group. They are determined both in the local density approximation and generalized gradient approximation, which provide lower and upper limits. At the GGA lattice constants, which gives lattice constants closer to the experimental ones, BeSiN₂ is found to have an indirect band gap of 6.88 eV and its direct gap at is 7.77 eV, while in BeGeN₂ the gap is direct at and equals 5.03 eV. To explain the indirect gap in BeSiN₂ comparisons are made with the parent III-N compound w-BN band structure. The effective mass parameters are also evaluated and found to decrease from BeSiN₂ to BeGeN₂. (paper)