A high-resolution spectroscopic method that allows single-shot spectra of Raman-active molecular transitions in non-stationary media to be obtained with a resolution of ∼0.1 cm −1 was developed. The method is based on application of a Fabry-Pérot interferometer to spectral analysis of the CARS signal from Raman transitions with further detection of an interference pattern by a two-dimensional photo-matrix. The implementation of a dual-broadband (DBB) CARS configuration for effective spectral averaging over pump and Stokes laser spectra together with angular averaging of CARS intensities along the complete circumference of Fabry-Pérot interference patterns leads to a significant improvement of interferogram quality, so that nearly all of the single-shot interference patterns obtained for Q-branch lines of the hydrogen molecule in a gas probe volume became suitable for linewidth measurements.