AbstractCoherent Raman spectra for resonance pumping conditions and a three‐frequency variant were claculated for polyatomic molecules. A model based on density of states and displaced harmonic oscillators was used. The contributions of different intermediate vibrational levels in the electronic state S1 to the resonance Raman susceptiblity χ and the interference of χ with a non‐resonant electronic background are discussed. It is shown that many intermediate levels belonging to S1 and corresponding to two excited vibrations (the relevant Raman vibration and either one of the others) influence the spectrum significantly, in contrast to the case with absorption. The asymmetry of the Raman line is due mainly to the interference with a non‐resonant background. The method used takes into account the influence of the interference of neighbouring lines on the line shape and also the possible deformation of the lines by the dispersion of the Raman polarizability. The results are in qualitative agreement with known experimental data for some dyes.