Equations for describing the desorption isotherms for fibres with high hygroscopicity and curves for finding the points of inflection, the boundary between solvation and volume sorption segments are proposed and can be used for qualitatively and quantitatively evaluating the hygroscopic characteristics of fibres in a wideThe hygiene and comfort of clothing made of different fabrics is determined by the hygroscopicity of the fibres to a significant degree. In processing, storage, and use, fibre materials are exposed to moisture and temperature. Due to the high sensitivity of many fibre materials to moisture, their shape and dimensions change during processing. The mechanical characteristics of the articles are also a function of the hygroscopicity of the fibres and thread, and this property is correlated with the fibre pore structure to a significant degree. Natural fibres such as wool, silk, and cotton and fibres made of natural cellulose raw material (viscose, cuprammonium, etc.) usually have high hygroscopicity. Chemical fibres, Capron, nylon, etc., for example, are less hygroscopic. However, in this group of materials as well, there are fibres with high hygroscopicity, for example, the Togilen fibre created at Khimvolokno Leningrad Scientific-Research Institute [1][2][3][4][5][6].The kinetics of finishing of fibres and textile materials also determines their hygroscopicity to a significant degree. Data on the equilibrium moisture content at different temperatures and relative humidity are necessary, for example, in calculating the drying parameters of textile materials and fibres [6][7][8][9][10]. If superficial drying is conducted, the process is restricted to the first period and is described by traditional heat and mass exchange equations. If capillary-porous materials are dried to low equilibrium moisture contents, the process is described by nonstationary kinetic equations [10]. It should be noted that insufficient attention has been focused on determination of the equilibrium parameters of capillary-porous materials in the literature. In a well-knowal monograph on drying [11], the sorption-----desorption isotherms and corresponding calculated curves are not reported, and direct experimental measurements, which cannot always be performed, are considered more reliable. This indicates the importance of studying the sorption characteristics of fibre materials and the changes in them when the temperature changes.The sorption----desorption isotherms plotted for the complete range of changes in the relative humidity (p are the most comprehensive characteristic of the hygroscopicity of materials. There is still no rigorous theoretical description of the sorption---desorption isotherms. For example, it was noted in [6] that it is probably impossible to find a general equation for the sorption---desorption isotherms which would hold for the entire range of variation of (p. However, these curves can be obtained for special cases, as demonstrated below.The isotherms for hygroscopic fibre materials have a shape of th...