Abstract: To set up the critical tension model of buckling and find the effective technologic measures to prevent the buckling, the effect and acting mechanism of seven major factors, roll profile, strip shape, strip width, transverse distribution of temperature, weld position, friction on the roll, and total tension, on the transverse distribution of tensile stress in a continuous annealing furnace were simulated by using the finite element method of geometrical nonlinear buckling calculation and the theory of elastic-plastic buckling in the field of stamping. The simulation results show that roll profile and thickness of the strip are the two most remarkable factors influenced on the transverse distribution of tension stress. The relationships between buckling and transverse distribution of tensile stress are revealed, and a valuable technologic measure was provided to control the "heat buckling" and proved to be well effective online.