Abstract: To study the running deviation problem of strips during production in a continuous annealing furnace, a roll-strip dynamic simulation model was built using finite element software ABAQUS to quantitatively calculate the effect of double-taper roller shape on the running deviation of strips in the continuous annealing process. The transverse compressive stress and the waved surface of strips were also analyzed. Computation results show that double-taper roller shape has obvious inhibition to the running deviation of strips. The running deviation of strips gradually reduces with the increases of total roller diameter variation, roller diameter variation's ratio and tension, as well as with the decrease in length of the roller's flat section, but the maximum transverse compressive stress increases gradually, which increases the probability of waved surface occurrence. According to the above results, a calculate model of running deviation was established, which can provide a theoretical basis for further optimizing double-taper roller shape and tension setting in the heating furnace section, in combination with the theory of waved surfaces.