Abstract <p>A method and an algorithm were developed for numerical determination of probabilistic characteristics of natural frequencies splitting of the elastic thin-walled shell with arbitrary nonaxisymmetric deviations of geometry parameters. The proposed algorithm allows to determine the probabilistic characteristics of frequency splitting of the nonideal shells either directly from the measurement results of the random imperfections of their geometry, or on full statistical data on these imperfections if available. The results of numerical calculations of specific shells are presented.</p>