This study is devoted to the theoretical investigation of the quasimolecular emission of Xe∗-He and Kr∗-He collision pairs near the Xe (5p ⁵6s ^1,3 P ₁ - 5p ^{6 1} S ₀) and Kr (4p ⁵5s ^1,3 P ₁ - 4p ^{6 1} S ₀) resonance atomic lines. The potential curves of the quasimolecules Xe(5p ⁵6s) + He and Kr(4p ⁵5s) + He have been obtained with the use of the effective Hamiltonian and pseudopotential methods. Based on these potential curves the processes of quasimolecular emission of Xe∗+He and Kr∗+He mixtures have been considered and the spectral distributions I(HΔω) of photons emitted have been obtained in the framework of quasistatic approximation.