In this paper, the theory of the ballooning yarn has been adapted to the ring spinning process. The effect of the balloon control ring was incorporated into the mathematical model. The control ring is modeled as a frictionless circle constraint on the yarn path in the balloon.The balloon shape os determined by taking into account all the significant phenomena. The method of solution is applicable to more than one control ring in the threadline. The results from dynamic analysis are presented and show a marked effect of balloon control ring in reduce the yarn tension. The developed numerical solution procedures can be used to explore the regions of instability of the balloon. and Obsahuje seznam literatury