The absorption spectra of (SiF₄)₂ dimers were studied in argon, xenon and nitrogen matrices. The dimer ν_X,Y, ν_Z bands due to resonance dipole-dipole interaction between two SiF₄ subunits were identified. The ab initio calculations of the structure, energies and vibrational frequencies for the different conformations of (SiF₄)₂ dimer were performed using the second-order Møller-Plesset perturbation theory. The model with the point dipole moments located on each of Si-F bonds has been developed. This model allows to calculate the dimers spectra at various orientation of SiF₄ molecules. On transition from the gas to low temperature matrix the symmetry of (SiF₄)₂ dimer changes from C_2h to D_2d, and R_Si-Si distance decreases by 0.3 Å.