Defining thresholds for yarn strain in manufacturing process is crucial for appropriately adjusting these processes and keeping high yarn quality. That is the main reason why the issue has drawn so much intention. The knowledge of elasticity limits and yield points is very important for the optimization of the production process and further twisted woolen yarns processing. Therefore, this paper defines the limits for elasticity and yield points and breaking forces of woolen yarns with the linear density of 21x2 tex, 23x2 tex and 25x2 tex, obtained by two-for-one twisting method. The interrelationship between the forces and the elongations at elasticity limits, yield points and breaking force of these yarns are also analyzed. Besides, on the basis of experimental results and equations, real mathematical dependences are set, which can be used to predict forces and elongations of woolen yarns at elasticity limits, yield points and breaking limits.