The work aims to study the effect of density and strain rate on the quasi-static cushioning properties of closed-cell EVA foam. Based on the static compression test for cushioning materials and the energy absorption diagram method used in packaging, closed-cell EVA foam samples with densities of 80, 95, 106, 124, and 180 kg/m³ were subject to quasi-static compression tests at different strain rates, and the stress-strain curves were obtained. Based on further processing, the corresponding curves of energy absorption per unit volume, energy absorption efficiency, chushioning coefficient and maximum specific energy absorption were obtained. Simultaneously, an energy absorption diagram during the static quasi-compression process of the sample was drawn. The results showed that, the higher the density of closed-cell EVA foam, the smaller the densification strain and the larger the maximum energy absorption per unit volume; At the same compression strain, the larger the strain rate, the greater the stress, energy absorption per unit volume, energy absorption efficiency, and maximum specific energy absorption; The constitutive equations of five density closed-cell EVA foam materials, the energy absorption diagram of closed-cell EVA foam materials and the relationship between slope and strain rate were obtained; By analyzing the relationship between densification strain and relative density, relevant fitting formulas were obtained. The density and strain rate have a great impact on the cushioning performance of closed-cell EVA foam materials. Under a certain stress level there is an optimal density that can right absorb energy and protect the product from damage. The optimal density is affected by the strain rate, so the design of relevant cushioning packaging can be optimized with the energy absorption diagrams.