The work aims to study a simple prediction method of EPE cushion curve. A known cushion curve was used as a prediction tool, and the EPE cushion curve family was obtained by processing the known cushion curve based on the energy density. According to the energy conservation law, the energy density-shock stress curve of the cushion material was obtained to draw the cushion curves under different conditions. The relationship between static stress, shock stress and absorbed energy per unit volume of the cushion material was derived, and the method of predicting the maximum shock acceleration of the cushion material and generating its family of cushion curves was proposed. The published cushion curves of EPE with density of 24 kg/m3, material thicknesses of 25.4 mm, 38.1 mm, 50.8 mm, and 76.2 mm, and drop heights of 30.5 cm, 45.7 cm and 61.0 cm, and experimental cushion curves of EPE with density of 35 kg/m3, material thickness of 55 mm, and drop heights of 46 cm, 66 cm and 76 cm were used to predict the EPE cushion curves under different conditions. The comparative error analysis was done between predicted cushion curves and published cushion curves and experimental cushion curves. When the cushion curves within the appropriate condition range (drop height, material thickness) were selected as the prediction tool curve to predict the curve family, the prediction results are close to the published or experimental cushion curves. This method can effectively reduce the number of tests and provide a new idea for obtaining cushion curves family quickly.