In this paper, stability of the convergence point in Siro-spinning composite area and control of tension compensator (TC) to the unstable motion of the convergence point in Sirofil spinning are kinetically studied. It is shown that the adoption of TC can greatly improve the stability of the system, and apparently reduce the vibration of the convergence point. Therefore, it can correspondingly reduce the hairiness of Sirofil composite yarn and improve the property of abrasion-resistance enormously.