The aim of this work was to study the vibration isolation characteristics of multi-layer calcium plastic corrugated board with different levels of pre-compression. Through a series of vibration tests with calcium plastic corrugated plate under different levels of pre-compression, we found that calcium plastic compressed corrugated board with 50% pre-compression ratio had good vibration isolation effect. The nonlinear dynamics constitutive relation of preloading calcium plastic corrugated plate was then established based on the cushioning viscoelastic theory. A nonlinear packaging system model with two degrees of freedom under 1/4 vehicle transport model was established based on vehicle transport packaging system using least squares identification parameters, and then dynamic equation as well as the corresponding results were obtained. The feasibility of the model in packaging vibration isolation design was illustrated through a numerical example. The study found that the dimensionless acceleration value generally increased as the area of vibration isolation material was reduced and first increased and then decreased with the increase of the number of layers. This study can provide theoretical basis for the vibration isolation performance of calcium plastic corrugated board and the related packaging design.