This paper concerns with the problem on laser sounding of the stratosphere under conditions of aerosol formations of volcanic origin erupted into the stratosphere. In particular, we study the adequacy of reconstructing the ozone vertical profile using correction for aerosol, with no data on optical characteristics of aerosol (backscattering and extinction coefficients, and so on). The estimation calculation we have done and comparison with the results of balloon borne measurements show that the lack of such data is of no principal importance.