Abstract <p>The results of studies concerning the effect of continuous asymmetric rolling conditions on the strip tension chatter in the interstand gap with the use of a method of mathematical simulation are presented. Different conditions have been created on the upper and lower surfaces of the rolled product in the strain zone using lower and upper rolls with barrels having different diameters set at the same angular velocity with respect to the rotation axis. An approach has been proposed that made it possible to establish patterns for process conditions to affect the energy-force characteristics of the asymmetric strain zone. As a result, a method for assessing the parameters of asymmetric continuous steel strip rolling is developed, which allows one to assess the value of interstand tensions taking into account the circumferential rotation velocity of the surface of the roll barrels. It has been shown that the difference in the diameters of the working roll barrels has little effect on the strip tension chatter in the interstand gaps. A more significant effect on the process parameters is exerted by the average value of the barrel diameters of the upper and lower rolls in the stand.</p>