Abstract: A method of fabricating double-curvature shells from meridional petaloid sections consisting in that the prefabricated meridional petaloid sections are joined consecutively with one another in a number required for making a shell. The meridional petaloid sections are made from a flexible material and in the process of their joining they are successively coiled into a spindle-shaped roll for storage and transportation and the double-curvature shell is made by applying an axial force to at least one of the roll ends for uncoiling the roll and simultaneously imparting a longitudinal curvature to said sections after which the first and the last sections are joined with each other. The method according to the invention permits fabrication of high-quality double-curvature shells of any volume from any flexible material, it is highly efficient, calls for low expenditures of labor and funds, is simple and convenient in practice.