The problem of revealing of a layer with increased scattering properties from photometric observations of sky brightness in conditions of twilight is considered. Solutions of the inverse problem of the twilight sounding which are suggested by N. B. Divari and V. N. Lebedinets are examined by the example of numerical modelling. It is shown that N. B. Divari's method results in spreading the layers with the increased scattering properties. The method suggested by V. N. Lebedinets is instable both to mistakes of observations and to mistakes of model parameters. On the basis of the analysis of N. B. Divari and V. N. Lebedinets methods, we suggest a new method for solving the inverse problem of twilight sounding. From the properties of regularizing algorithm underlying our method, we showed high stability of our method to mistakes of observations and essentially smaller spreading of layers with the increased scattering properties.