Modeling of the fabric surface is the difficult task in terms of definition of the surface shape. Automating the modeling process as part of the textile production process can reduce development time for textile systems, such as fabric weaving machines that use the technique of cutting woven hoses. In this paper, a method is proposed for computer modeling of the surface of fabric unwrapping from a cylindrical shape to a flat one without stretching. The proposed method consists of next five stages: determining the pattern of changes in the surface cross-section, development of the virtual instrument in the graphical programming environment “LabVIEW”, creating the point cloud and using it in CAD system “KOMPAS-3D”. The virtual instrument makes sequential changes to the parameters of the surface cross-section, creates the point cloud of the surface and exports the data to a file for further processing. The file is imported into the CAD system where the surface is building based on the point cloud data.