The object of research of the article is the characteristics of mechanical properties of fibrous systems under the bending deformation, and the subject is the method of determination of the resistance to bending. The aim of the work is to develop a new universal method for evaluating the resistance of fibrous materials to bending, including, among other things, the possibility of forming an electronic database on the characteristic properties of materials. To achieve this goal, a set of problems related to the analysis of existing methodological approaches and technical means, the rationale for possible solutions to the problem posed, and the development of a new patentable method for evaluating the materials’ resistance to bending, have been solved in the research. In the course of the project, a study was developed of the required characteristics for textile and leather-fur materials used for the manufacture of garments. The method is based on the use of natural oscillations frequencies of the material as an informative parameter of their resistance to bending. The method belongs to the class of express methods and provides an opportunity to create an electronic database on the properties of materials online. The approbation of the proposed solution by comparing the estimates obtained with the results of studies obtained on the basis of a standardized method (the method of the console), showed sufficient accuracy and the possibility of practical application of the developed method.