Based on Dynaform 5.6, the axial drawing process of stainless steel tube was researched by the method of FEM numerical simulation. The results show that the external inversion of stainless steel tube can be realized and by changing the fillet radius of punches,the double\|wall tube of different gap values will be acquired; the width of flange at the end of the tube blank and the blank holder force have a little effect on the forming force of the stainless steel tube inversion by axial drawing die,but their effects on forming process can not be ignored. The effect of the punch fillet radius on the forming force was great. When the fillet radius of punch is 2 mm,the steady forming force will almostly reach the minimum. And when the fillet radius punch is more or less than 2 mm,the steady forming force will increase.