In the civil engineering and mechanical engineering are widely used multilayer composite sheets that are designed with symmetrical structure with respect to sheet mid-surface. As a result of technological imperfections and tolerances the actual structure of the sheet is asymmetrical. The reasons of asymmetry may be many the most important are deviation of orientation angle for each layer, deviation of thickness of each layer and deviation of elastic characteristics. Using Monte-Carlo simulation is numerically analyzed the correlation between standard deviation of different technological tolerances and curvature, torsion of the sheet. Two kind of analysis is done- by taking into account geometrical non-linearity and without it