The work aims to study the buffer performance of bagasse-starch foaming buffer material and establish the constitutive equation of such buffer material, so as to facilitate its application. The static compression test of bagasse-starch composites of different densities was carried out under different humidity and strain rates. Based on Sherwood-Frost constitutive equation, the factors of humidity which influenced the strain were added and the equation was extended. In such case, the static compression constitutive equation of such composite was established. According to the experimental data, the correlation coefficients were identified in the mathematical method fitted by Origin. The stress-strain curves fitted by the static compression constitutive equation could be used as material characteristics and loaded into Abaqus software, to simulate starch-bagasse fiber foaming buffer material and static compression test. The simulation curves were obtained and compared with actual test curves. The difference between simulation experiment and actual experiment was very small, and the global error was within 10%. The static compression constitutive equation established can properly represent the buffer performance of the above-mentioned composite, which avoids the problem that the material curves can only be obtained by conducting a lot of experiments in the process of designing cushion pad.