High resolution (0.C5 A) spectra are used for the determlnatlon of the profiles of the diffuse Interstellar bands 5780 and 5797 orlginatlng in single clouds. It is shown that some of the clouds may contain agents of certain diffuse bands whereas others may not. The proflles of diffuse bands observed in dlstant stars contaln contributions from several clouds, differing In optical properties, which share the Doppler displacements observed in interstellar sodium lines. The Doppler splitting inside the diffuse bands´ profiles is, however, efficlently veiled because of the large intrinslc widths of the bands under consideration.