In order to make clarify chattering, the unstable vibration of the roll-strip coupling system, the eigenvalue analysis is carried out using a roll-strip coupling model. In this model, a mill is simplified to a four-degree-of-freedom vibration system. The effects of dynamic frictional forces acting on the strip and rolls are also considered. From parameter studies, the following results are obtained. First, a bending moment due to the dynamic frictional forces destabilizes the natural mode of vibration of the roll-strip coupling system at the resonance of the roll and suspension systems. Second, there exists a closed region of roll suspension stiffnesses, in which one of the eigenvalues of the roll and suspension system has a positive real part value. Under this condition, a strong instability of the roll-strip coupling system is induced at the natural frequency of the roll and suspension system.