Analysis of the drawing process is very important for understanding the drawing behavior of the high performance glass fiber and adjusting the quality of fiber products. A simple quasi-2D mathematical model was established to describe the characteristics of fiber drawing process by applying the principles of fluid dynamics, heat transfer and solved numerically. The above model and calculation method were applied to simulate and calculate boron-free and alkali-free high-performance glass fibers, and to discuss the role of surface tension in drawing process. The effects of the tip radius and temperature and the winder velocity on the fiber size, temperature and velocity were studied. Results showed that surface tension mainly affects the velocity and radius of the fiber in the early stage of drawing process and has little effect on the later stage. When keeping the glass liquid flow rate and drawing speed constant, the lower tip temperature, the thinner the fiber and the faster velocity of fiber in the early stage. When keeping the winder velocity unchanged, the smaller tip radius, the thinner radius of fiber, the faster velocity of fiber. Winder velocity had influential effected on the temperature, velocity and radius of the fiber. When the tip radius, temperature, and flow rate remain unchanged, the faster the winder velocity, the lower the fiber temperature, the thinner the fiber and the faster fiber velocity. With the increasing of winder velocity the final fiber radius decreased. When the winder velocity reaches 50 m/s, the final fiber radius decreased slowly, with the fiber radius of about 2 μm. From the point of technical and production efficiency the winder velocity should be controlled under 100 m/s.