Abstract: To determine the dynamic characteristics of the rubber layer during the process of steel-rubber roller squeezing and rolling, the uniaxial tension and dynamic mechanical analysis (DMA) experiments were conducted on the rubber material, the experimental data were fitted and analyzed, and the hyperelastic-viscoelastic constitutive model of rubber material was established by superimposing the 3-parameter Mooney-Rivlin hyperelastic model and the 5-order Prony series generalized Maxwell viscoelastic model. The force-displacement hysteretic curves of the rubber layer under dynamic loading were obtained by finite element simulation, and the dynamic stiffness and equivalent damping ratio of the rubber layer were calculated and analyzed under different loads, rotating speeds, rubber hardness and thickness of the rubber layer. Results show that the dynamic stiffness of the rubber layer increases with the increase of the load, rotational speed and rubber hardness, and decreases with the increase of the thickness of the rubber layer. The equivalent damping ratio increases with the increase of the load and thickness of the rubber layer, and decreases with the increase of the rotational speed and rubber hardness. The rubber hardness and the thickness of the rubber layer have significant effects on the dynamic stiffness and equivalent damping ratio of the rubber layer, which need to be considered in the design process.