The rolling textures evolution of AZ31 magnesium alloy sheets is investigated by the eccentric-rolls drawing as a simulated rolling. The eccentric-rolls provides a sheet continuously changing in rolling reduction, and a exact processing temperature is ensured by uniformly heating the free-rotatable rolls together with a test piece in a furnace. The formed textures at the different rolling rates of 10 and 100 mmÁs À1 showed no significant differences in any temperature and rolling reduction. The double peak texture, which appreciably improves low-temperature formability of this alloy, was obtained under rolling reduction of 22% or above at 423-523 K. On the other hand, at 573 K, the texture was typically concentric circle.