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At present, the control process of the vertical and reverse coupled vibration of the strip mill does not consider the influence of the variable friction force, and the vibration characteristics cannot be accurately analyzed, resulting in unsatisfactory control effect. A vertical and vibration coupled vibration control technology for strip mill based on vibration friction model is proposed. The vertical-torsional coupled vibration parameter is taken as the input vector, and the frictional force is used as the output vector under ideal conditions to determine the vertical-torsional coupled vibration parameters. The genetic algorithm is used to identify the optimal parameters of the coupled vibration and vibration, and the vibration friction model is constructed to accurately analyze the coupled vibration characteristics of the vertical and torsion, and to solve the problem of variable friction in the control process. The vibration and friction model is used to control the system displacement response and the frequency domain response vibration characteristics to realize the control of the vertical and reverse coupled vibration of the strip mill. Compared with the traditional control technology, the experimental results are obtained. The control precision of the proposed control technology can reach 98%, which can reduce the variable friction effect of the control process. It can accurately and accurately analyze the vibration characteristics and greatly improve the control precision.