In the process of cloth formation, qualitative and quantitative determination of movement resistance factors is one of the requirements for
improving product quality. For this purpose, it is necessary to build adequate mathematical models corresponding to the forces affecting the thread motion. The method of determining the law of motion of a thread in different situations and under the influence of different types of forces are described in this article. For this, the thread is considered as a viscous-elastic material, and the mechanical parameters included in the equation of motion are expressed by operators. The integral-differential equations corresponding to each case of thread motion are formed.