The work aims to study a method that can predict the maximum acceleration-static stress curve quickly and accurately. Firstly, the maximum acceleration-static stress curves of foamed polyethylene of 5 different thickness at 5 different heights were obtained by a drop hammer impact testing machine. On this basis, the differences between the three different improved fitting methods proposed and the existing dynamic stress and dynamic energy polynomial fitting methods were analyzed and compared. It was found that when the maximum acceleration factor was used as a function value and the drop height, pad thickness, and static stress were used as variables for fitting without distinguishing heights, the average R2 value representing prediction accuracy was 0.835, which was much higher than the value of 0.299 6 got by the polynomial fitting method of dynamic stress and dynamic energy. However, the prediction accuracy on the right side of the curve was still low. After a polynomial with static stress as the variable was used as the correction factor, the average value of R2 was 0.934, indicating a significant improvement in prediction accuracy. The prediction deviation on the right side was reduced, but it still existed. When a formula with a correction factor was used for prediction while heights were distinguished, the average value of R2 was 0.984, and the phenomenon of gradually increasing prediction deviation towards the right side of the curve was significantly improved. Under different heights, the use of prediction formulas with correction factors can quickly and accurately predict the maximum acceleration-static stress curve, which can provide certain assistance for impact protection design and related software development.