The explicit dynamic finite element method was used to study the in-plane dynamic response and energy absorption characteristics of multi-layer A-flute corrugated cardboard. The finite element model of multi-layer A-flute corrugated cardboard was established, and the effects of different impact velocities and relative densities on the deformation mode, densification strain, platform stress and mass specific energy absorption of multi-layer corrugated structure were discussed. The results show that the higher the impact velocity and relative density, the more uniform the in-face deformation pattern and the greater the densification strain, the stronger platform stress and energy absorption capacity are equipped in the multi-layer A-flute corrugated cardboard. Empirical equations for dynamic densification strains and platform stresses are given based on the energy efficiency method and one-dimensional shock wave theory to characterize the dynamic load carrying capacity of multi-layer corrugated structures for in-plane impacts. Based on the simplified constitutive relationship, a dynamic energy absorption diagram is drawn, and the relative density equation and strain rate equation are fitted. Numerical examples show that the use of relative density and strain rate equations can optimize material selection and structural design to maximize the cushioning effect of the packaging material under given conditions.