Abstract: A method and apparatus is disclosed for eccentricity correction in a rolling mill, in which prior to rolling, the eccentricity of the back-up rolls is measured and recorded both initially and each time the back-up rolls are changed. In an analog loop, constant roll gap is maintained by bidirectionally displacing the back-up rolls so as to maintain constant roll force in accordance with a reference roll force signal, the displacements being such as to neutralize the measured and recorded eccentricity. In a digital feedback loop, controlled by a digital computer, roll force is maintained constant in accordance with changes in the gauge of the work product, with the displacement of the back-up rolls producing a change in roll opening. The analog and digital control loops are cooperatively combined, so that the change in roll opening resulting from digital control, produces a new roll force reference for the analog loop.