The IR absorption spectra of (SF₆)₂ dimers were studied in N₂ matrixes at 11 K. Absorption bands due to SF ₆ monomers and to (SF₆)₂ dimers have been identified. As a result of the resonance dipole-dipole interaction between two SF₆ subunits, the band of the triply degenerate vibration v ₃ is split into two components v_x,y and v_z, where Z is the axis connecting the two sulfur atoms. The main distinction between the spectra of (SF₆)₂ dimers recorded here compared to spectra in the gas phase is the splitting of the v_x,y component. A model that takes into account the influence of the matrix on the spectra of dimers is developed. The model makes it possible to successively (i) calculate the resonance spectrum of an isolated dimer in terms of the model of local modes including the resonance interactions, (ii) determine with the help of the Monte Carlo method the structure of a matrix consisting of 864 N ₂ molecules and a rigid (SF₆)₂ dimer, and (iii) take into account the interactions of local dipole moments of a dimer with host particles in the approximation of dipole-induced dipole and dipole-quadrupole interactions. The calculated spectra sufficiently well reproduce the main characteristics of the experimental spectra in N₂ matrixes, in particular, the decrease of the resonance splitting upon transition from the gas phase to a matrix and the splitting of v_x,y component in the nitrogen matrix.